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In this letter, a novel two-dimensional (2-D) extrapolation technique for the approximation of three-dimensional (3-D) radar cross section (RCS) pattern is presented. The best uniform rational approximation, performed by the Maehly approximation, is applied to the method of moments (MoM) to predict the 3-D monostatic RCS pattern. Compared to the asymptotic waveform evaluation (AWE) technique, the major advantage of the Maehly approximation is that it can avoid calculating derivatives of the dense impedance matrix and excitation matrix, and it is accurate in much broader frequency domains and spatial domains. Numerical results show that the proposed method is superior in terms of CPU time compared to the traditional MoM. Good agreement between the proposed technique and the traditional MoM is observed.