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Finding the Third Proportional to 237,080 and 516,766

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Solution

The third proportional to 237,080 and 516,766 is: 1,126,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,080 : 516,766 = 516,766 : x
  2. Step 2: Convert to fraction form
    237,080/516,766 = 516,766/x
  3. Step 3: Cross multiply
    237,080x = 516,766 × 516,766
  4. Step 4: Simplify right side
    237,080x = 267,047,098,756
  5. Step 5: Solve for x
    x = 267,047,098,756/237,080
  6. Step 6: Final answer
    x = 1,126,400.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.