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Finding the Third Proportional to 327,455.50 and 489,161

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Solution

The third proportional to 327,455.50 and 489,161 is: 730,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,455.50 : 489,161 = 489,161 : x
  2. Step 2: Convert to fraction form
    327,455.50/489,161 = 489,161/x
  3. Step 3: Cross multiply
    327,455.50x = 489,161 × 489,161
  4. Step 4: Simplify right side
    327,455.50x = 239,278,483,921
  5. Step 5: Solve for x
    x = 239,278,483,921/327,455.50
  6. Step 6: Final answer
    x = 730,720.61

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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.