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Finding the Third Proportional to 327,681 and 442,716

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Solution

The third proportional to 327,681 and 442,716 is: 598,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,681 : 442,716 = 442,716 : x
  2. Step 2: Convert to fraction form
    327,681/442,716 = 442,716/x
  3. Step 3: Cross multiply
    327,681x = 442,716 × 442,716
  4. Step 4: Simplify right side
    327,681x = 195,997,456,656
  5. Step 5: Solve for x
    x = 195,997,456,656/327,681
  6. Step 6: Final answer
    x = 598,134.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.