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Finding the Third Proportional to 532,737 and 794,793

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Solution

The third proportional to 532,737 and 794,793 is: 1,185,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,737 : 794,793 = 794,793 : x
  2. Step 2: Convert to fraction form
    532,737/794,793 = 794,793/x
  3. Step 3: Cross multiply
    532,737x = 794,793 × 794,793
  4. Step 4: Simplify right side
    532,737x = 631,695,912,849
  5. Step 5: Solve for x
    x = 631,695,912,849/532,737
  6. Step 6: Final answer
    x = 1,185,755.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.