Final answer:
Oogonia produced near the end of the proliferation period undergo oogenesis, resulting in the formation of secondary oocytes and eventually ovums.
Step-by-step explanation:
The oogonia produced near the end of the proliferation period go through a process called oogenesis. Oogenesis starts with a germ cell called an oogonium, which undergoes mitosis to form primary oocytes. These primary oocytes then undergo meiosis to produce secondary oocytes. Upon fertilization, the secondary oocyte develops into an ovum, which is a haploid female gamete.