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Finding the Third Proportional to 366,964 and 516,766

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Solution

The third proportional to 366,964 and 516,766 is: 727,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,964 : 516,766 = 516,766 : x
  2. Step 2: Convert to fraction form
    366,964/516,766 = 516,766/x
  3. Step 3: Cross multiply
    366,964x = 516,766 × 516,766
  4. Step 4: Simplify right side
    366,964x = 267,047,098,756
  5. Step 5: Solve for x
    x = 267,047,098,756/366,964
  6. Step 6: Final answer
    x = 727,720.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.