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Finding the Third Proportional to 235,044 and 516,744

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Solution

The third proportional to 235,044 and 516,744 is: 1,136,061.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,044 : 516,744 = 516,744 : x
  2. Step 2: Convert to fraction form
    235,044/516,744 = 516,744/x
  3. Step 3: Cross multiply
    235,044x = 516,744 × 516,744
  4. Step 4: Simplify right side
    235,044x = 267,024,361,536
  5. Step 5: Solve for x
    x = 267,024,361,536/235,044
  6. Step 6: Final answer
    x = 1,136,061.17

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Why These Related Problems?

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