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Finding the Third Proportional to 327,459 and 489,165

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Solution

The third proportional to 327,459 and 489,165 is: 730,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,459 : 489,165 = 489,165 : x
  2. Step 2: Convert to fraction form
    327,459/489,165 = 489,165/x
  3. Step 3: Cross multiply
    327,459x = 489,165 × 489,165
  4. Step 4: Simplify right side
    327,459x = 239,282,397,225
  5. Step 5: Solve for x
    x = 239,282,397,225/327,459
  6. Step 6: Final answer
    x = 730,724.75

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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.