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Finding the Third Proportional to 367,084 and 516,942

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Solution

The third proportional to 367,084 and 516,942 is: 727,977.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,084 : 516,942 = 516,942 : x
  2. Step 2: Convert to fraction form
    367,084/516,942 = 516,942/x
  3. Step 3: Cross multiply
    367,084x = 516,942 × 516,942
  4. Step 4: Simplify right side
    367,084x = 267,229,031,364
  5. Step 5: Solve for x
    x = 267,229,031,364/367,084
  6. Step 6: Final answer
    x = 727,977.88

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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.