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Finding the Third Proportional to 242,578.13 and 500,715

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Solution

The third proportional to 242,578.13 and 500,715 is: 1,033,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,578.13 : 500,715 = 500,715 : x
  2. Step 2: Convert to fraction form
    242,578.13/500,715 = 500,715/x
  3. Step 3: Cross multiply
    242,578.13x = 500,715 × 500,715
  4. Step 4: Simplify right side
    242,578.13x = 250,715,511,225
  5. Step 5: Solve for x
    x = 250,715,511,225/242,578.13
  6. Step 6: Final answer
    x = 1,033,545.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.