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Finding the Third Proportional to 366,980 and 516,792

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Solution

The third proportional to 366,980 and 516,792 is: 727,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,980 : 516,792 = 516,792 : x
  2. Step 2: Convert to fraction form
    366,980/516,792 = 516,792/x
  3. Step 3: Cross multiply
    366,980x = 516,792 × 516,792
  4. Step 4: Simplify right side
    366,980x = 267,073,971,264
  5. Step 5: Solve for x
    x = 267,073,971,264/366,980
  6. Step 6: Final answer
    x = 727,761.65

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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.