  A high precision measurement of the transverse spin-dependent asymmetry
A_{T'} in ^3 vec{He}(vec{e},e') quasielastic scattering was performed in Hall A
at Jefferson Lab at values of the squared four-momentum transfer, Q^2, between
0.1 and 0.6 (GeV/c)^2. A_{T'} is sensitive to the neutron magnetic form factor,
G_M^n. Values of G_M^n at Q^2 = 0.1 and 0.2 (GeV/c)^2, extracted using Faddeev
calculations, were reported previously. Here, we report the extraction of G_M^n
for the remaining Q^2-values in the range from 0.3 to 0.6 (GeV/c)^2 using a
Plane-Wave Impulse Approximation calculation. The results are in good agreement
with recent precision data from experiments using a deuterium target.
