Final answer:
Prostate cancer most commonly metastasizes to the bones, lymph nodes, rectum, and lower urinary tract organs, whereas breast cancer often spreads to the bone, brain, and liver.
Step-by-step explanation:
Prostate and breast cancers commonly metastasize to specific distant sites in the body. For prostate cancer, these cells frequently spread to the bones, lymph nodes, rectum, and organs of the lower urinary tract. In the case of breast cancer, the metastasis often occurs in the bone, brain, and liver. The process of metastasis involves cancer cells traveling through the bloodstream or lymphatic system to form new, secondary tumors, known as metastases, at these distant sites. Prostate and breast cancers are known for their tendency to metastasize, especially in the advanced stages of the disease, which is generally associated with a poorer prognosis.