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Resonant three-wave coupling is an important mechanism via which wavesinteract in a nonlinear medium. When the medium is a magnetized warm-fluidplasma, a previously-unknown formula for the coupling coefficients is derivedby solving the fluid-Maxwell's equations to second order using multiscaleperturbative expansions. The formula is not only general but also evaluable,whereby numerical values of the coupling coefficient can be determined for anythree resonantly interacting waves propagating at arbitrary angles. As oneexample, coupling coefficient governing laser scattering is evaluated. Inconditions relevant to magnetized inertial confinement fusion experiments,lasers scatter from magnetized plasma waves and the growth rates are modifiedat oblique angles. As another example, coupling coefficient between twoAlfv\'en waves via a sound wave is evaluated. In conditions relevant to solarcorona, the decay of a parallel Alfv\'en wave only slightly prefers exactbackward geometry.

Three-wave interactions in magnetized warm-fluid plasmas: general theory with evaluable coupling coefficient