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Finding the Third Proportional to 327,732.75 and 442,792.13

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Solution

The third proportional to 327,732.75 and 442,792.13 is: 598,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,732.75 : 442,792.13 = 442,792.13 : x
  2. Step 2: Convert to fraction form
    327,732.75/442,792.13 = 442,792.13/x
  3. Step 3: Cross multiply
    327,732.75x = 442,792.13 × 442,792.13
  4. Step 4: Simplify right side
    327,732.75x = 196,064,865,962.02
  5. Step 5: Solve for x
    x = 196,064,865,962.02/327,732.75
  6. Step 6: Final answer
    x = 598,246.18

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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.