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Finding the Third Proportional to 367,099 and 516,966

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Solution

The third proportional to 367,099 and 516,966 is: 728,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,099 : 516,966 = 516,966 : x
  2. Step 2: Convert to fraction form
    367,099/516,966 = 516,966/x
  3. Step 3: Cross multiply
    367,099x = 516,966 × 516,966
  4. Step 4: Simplify right side
    367,099x = 267,253,845,156
  5. Step 5: Solve for x
    x = 267,253,845,156/367,099
  6. Step 6: Final answer
    x = 728,015.73

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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.