We report the numerical simulation of nonuniform magnetization distributions in prolate ellipsoidal particles having aspect ratios in the range of 1.5 less than or equal to L-z/D less than or equal to 3. The particle diameters studied were within the range of 60 less than or equal to D less than or equal to 180 nm. We consider soft type particles with saturation magnetization M-s = 550 G, exchange constant C = 2A = 2.10(-6) erg/cm and two different values of uniaxial anisotropy constant: 1) K-1 = 10(4) erg/cm(3) and 2) K-1 = 10(5) erg/cm(3). Different types of magnetization configurations are revealed, the uniform state and the longitudinal, transverse and tilted curling states. The single-domain radius as function of particle aspect ratio and material parameters is obtained. Comparison with the known upper and lower bound estimates is made.