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Finding the Third Proportional to 327,434.91 and 489,132.42

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Solution

The third proportional to 327,434.91 and 489,132.42 is: 730,681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,434.91 : 489,132.42 = 489,132.42 : x
  2. Step 2: Convert to fraction form
    327,434.91/489,132.42 = 489,132.42/x
  3. Step 3: Cross multiply
    327,434.91x = 489,132.42 × 489,132.42
  4. Step 4: Simplify right side
    327,434.91x = 239,250,526,129.30
  5. Step 5: Solve for x
    x = 239,250,526,129.30/327,434.91
  6. Step 6: Final answer
    x = 730,681.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.