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Finding the Third Proportional to 327,861 and 442,936

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Solution

The third proportional to 327,861 and 442,936 is: 598,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,861 : 442,936 = 442,936 : x
  2. Step 2: Convert to fraction form
    327,861/442,936 = 442,936/x
  3. Step 3: Cross multiply
    327,861x = 442,936 × 442,936
  4. Step 4: Simplify right side
    327,861x = 196,192,300,096
  5. Step 5: Solve for x
    x = 196,192,300,096/327,861
  6. Step 6: Final answer
    x = 598,400.85

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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.