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Finding the Third Proportional to 392,713 and 596,359

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Solution

The third proportional to 392,713 and 596,359 is: 905,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,713 : 596,359 = 596,359 : x
  2. Step 2: Convert to fraction form
    392,713/596,359 = 596,359/x
  3. Step 3: Cross multiply
    392,713x = 596,359 × 596,359
  4. Step 4: Simplify right side
    392,713x = 355,644,056,881
  5. Step 5: Solve for x
    x = 355,644,056,881/392,713
  6. Step 6: Final answer
    x = 905,608.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.