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Finding the Third Proportional to 327,682 and 442,718

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Solution

The third proportional to 327,682 and 442,718 is: 598,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,682 : 442,718 = 442,718 : x
  2. Step 2: Convert to fraction form
    327,682/442,718 = 442,718/x
  3. Step 3: Cross multiply
    327,682x = 442,718 × 442,718
  4. Step 4: Simplify right side
    327,682x = 195,999,227,524
  5. Step 5: Solve for x
    x = 195,999,227,524/327,682
  6. Step 6: Final answer
    x = 598,138.52

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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.