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Finding the Third Proportional to 327,462 and 489,171

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Solution

The third proportional to 327,462 and 489,171 is: 730,735.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,462 : 489,171 = 489,171 : x
  2. Step 2: Convert to fraction form
    327,462/489,171 = 489,171/x
  3. Step 3: Cross multiply
    327,462x = 489,171 × 489,171
  4. Step 4: Simplify right side
    327,462x = 239,288,267,241
  5. Step 5: Solve for x
    x = 239,288,267,241/327,462
  6. Step 6: Final answer
    x = 730,735.99

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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.