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Finding the Third Proportional to 324,253.50 and 485,084.25

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Solution

The third proportional to 324,253.50 and 485,084.25 is: 725,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,253.50 : 485,084.25 = 485,084.25 : x
  2. Step 2: Convert to fraction form
    324,253.50/485,084.25 = 485,084.25/x
  3. Step 3: Cross multiply
    324,253.50x = 485,084.25 × 485,084.25
  4. Step 4: Simplify right side
    324,253.50x = 235,306,729,598.06
  5. Step 5: Solve for x
    x = 235,306,729,598.06/324,253.50
  6. Step 6: Final answer
    x = 725,687.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.