Motivated by the recent paper On topological indices and their reciprocals, MATCH Commun. Math. Comput. Chem. 91 (2024) 287, we establish additional relations between distance- and degree-and-distance-based molecular structure descriptors: Wiener, hyper-Wiener, Harary, connective eccentricity, eccentric connectivity, degree distance, Gutman, additively weighted Harary, and multiplicatively weighted Harary indices, especially for their products.