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Finding the Third Proportional to 327,704 and 489,504

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Solution

The third proportional to 327,704 and 489,504 is: 731,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,704 : 489,504 = 489,504 : x
  2. Step 2: Convert to fraction form
    327,704/489,504 = 489,504/x
  3. Step 3: Cross multiply
    327,704x = 489,504 × 489,504
  4. Step 4: Simplify right side
    327,704x = 239,614,166,016
  5. Step 5: Solve for x
    x = 239,614,166,016/327,704
  6. Step 6: Final answer
    x = 731,190.85

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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.