The transmission of fast magnetoacoustic wave generated in the solar wind to the dayside low latitudes deep in the magnetosphere is of vital importance in understanding the physics of some important aspects of the solar wind-terrestrial interest. This study provides two examples of such a transmission. Magnetospheric hydromagnetic energies are computed at hourly intervals of four period bands in the Pc 3--5 range (15--30, 30--60, 60--120, and 120--240's). We use the horizontal component of magnetometer data recorded at AT&T Bell Laboratories and Air Force Geophysics Laboratory stations near L=2 and L=3 during January 27--30, 1979, an interval of moderate geomagnetic activity. High correlations are observed between the dayside ground-based observations of the hourly magnetic energies in the Pc 3 frequency range and the direction of the interplanetary magnetic field. Linear regression and multivariate analysis techniques have been adopted. The statistical results support theories of magnetohydrodynamic wave generation in the solar wind (upstream from the bow shock) and the subsequent wave transmission through the bow shock, magnetosheath and magnetopause. This leads to the observation of enhancements of Pc 3 at low-latitude terrestrial surface. In addition, we also carry out dynamic power spectral analyses of the ground data. These reveal several sudden enhancements in power for variations with periods in the range 15--50 s. At the time of two of these events occurring near local noon we observe large increases of compressional wave power in the solar wind. We take these two events to be specific examples of magnetoacoustic wave transmission of the type indicated by the statistical results.