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Finding the Third Proportional to 234,900 and 516,456

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Solution

The third proportional to 234,900 and 516,456 is: 1,135,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,900 : 516,456 = 516,456 : x
  2. Step 2: Convert to fraction form
    234,900/516,456 = 516,456/x
  3. Step 3: Cross multiply
    234,900x = 516,456 × 516,456
  4. Step 4: Simplify right side
    234,900x = 266,726,799,936
  5. Step 5: Solve for x
    x = 266,726,799,936/234,900
  6. Step 6: Final answer
    x = 1,135,490.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.