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Finding the Third Proportional to 316,981.50 and 747,508.50

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Solution

The third proportional to 316,981.50 and 747,508.50 is: 1,762,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,981.50 : 747,508.50 = 747,508.50 : x
  2. Step 2: Convert to fraction form
    316,981.50/747,508.50 = 747,508.50/x
  3. Step 3: Cross multiply
    316,981.50x = 747,508.50 × 747,508.50
  4. Step 4: Simplify right side
    316,981.50x = 558,768,957,572.25
  5. Step 5: Solve for x
    x = 558,768,957,572.25/316,981.50
  6. Step 6: Final answer
    x = 1,762,780.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.