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Finding the Third Proportional to 392,634 and 532,359

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Solution

The third proportional to 392,634 and 532,359 is: 721,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,634 : 532,359 = 532,359 : x
  2. Step 2: Convert to fraction form
    392,634/532,359 = 532,359/x
  3. Step 3: Cross multiply
    392,634x = 532,359 × 532,359
  4. Step 4: Simplify right side
    392,634x = 283,406,104,881
  5. Step 5: Solve for x
    x = 283,406,104,881/392,634
  6. Step 6: Final answer
    x = 721,807.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.