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Finding the Third Proportional to 367,016 and 516,824

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Solution

The third proportional to 367,016 and 516,824 is: 727,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,016 : 516,824 = 516,824 : x
  2. Step 2: Convert to fraction form
    367,016/516,824 = 516,824/x
  3. Step 3: Cross multiply
    367,016x = 516,824 × 516,824
  4. Step 4: Simplify right side
    367,016x = 267,107,046,976
  5. Step 5: Solve for x
    x = 267,107,046,976/367,016
  6. Step 6: Final answer
    x = 727,780.39

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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.