We demonstrate how the finite-energy unit magnetic monopole of an SU(2) gauge theory generalizes to configurations with multiple magnetic charge when properly embedded in higher-rank gauge theories. Masses and stability properties of these topologically distinct solutions are discussed. This same generalization is shown to hold for the pseudoparticle solution of Euclidean Yang-Mills theories. Finally, properties of the gravitational pseudoparticle solutions to the Einstein field equations are exhibited and discussed.