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Finding the Third Proportional to 227,752.13 and 527,257.50

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Solution

The third proportional to 227,752.13 and 527,257.50 is: 1,220,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,752.13 : 527,257.50 = 527,257.50 : x
  2. Step 2: Convert to fraction form
    227,752.13/527,257.50 = 527,257.50/x
  3. Step 3: Cross multiply
    227,752.13x = 527,257.50 × 527,257.50
  4. Step 4: Simplify right side
    227,752.13x = 278,000,471,306.25
  5. Step 5: Solve for x
    x = 278,000,471,306.25/227,752.13
  6. Step 6: Final answer
    x = 1,220,627.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.