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Finding the Third Proportional to 252,404 and 539,828

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Solution

The third proportional to 252,404 and 539,828 is: 1,154,554.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,404 : 539,828 = 539,828 : x
  2. Step 2: Convert to fraction form
    252,404/539,828 = 539,828/x
  3. Step 3: Cross multiply
    252,404x = 539,828 × 539,828
  4. Step 4: Simplify right side
    252,404x = 291,414,269,584
  5. Step 5: Solve for x
    x = 291,414,269,584/252,404
  6. Step 6: Final answer
    x = 1,154,554.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.