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Finding the Third Proportional to 239,727 and 516,814

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Solution

The third proportional to 239,727 and 516,814 is: 1,114,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,727 : 516,814 = 516,814 : x
  2. Step 2: Convert to fraction form
    239,727/516,814 = 516,814/x
  3. Step 3: Cross multiply
    239,727x = 516,814 × 516,814
  4. Step 4: Simplify right side
    239,727x = 267,096,710,596
  5. Step 5: Solve for x
    x = 267,096,710,596/239,727
  6. Step 6: Final answer
    x = 1,114,170.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.