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Finding the Third Proportional to 327,452 and 489,155

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Solution

The third proportional to 327,452 and 489,155 is: 730,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,452 : 489,155 = 489,155 : x
  2. Step 2: Convert to fraction form
    327,452/489,155 = 489,155/x
  3. Step 3: Cross multiply
    327,452x = 489,155 × 489,155
  4. Step 4: Simplify right side
    327,452x = 239,272,614,025
  5. Step 5: Solve for x
    x = 239,272,614,025/327,452
  6. Step 6: Final answer
    x = 730,710.50

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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.