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Finding the Third Proportional to 327,272 and 441,976

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Solution

The third proportional to 327,272 and 441,976 is: 596,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,272 : 441,976 = 441,976 : x
  2. Step 2: Convert to fraction form
    327,272/441,976 = 441,976/x
  3. Step 3: Cross multiply
    327,272x = 441,976 × 441,976
  4. Step 4: Simplify right side
    327,272x = 195,342,784,576
  5. Step 5: Solve for x
    x = 195,342,784,576/327,272
  6. Step 6: Final answer
    x = 596,882.06

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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.