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Finding the Third Proportional to 327,724.50 and 494,593.50

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Solution

The third proportional to 327,724.50 and 494,593.50 is: 746,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,724.50 : 494,593.50 = 494,593.50 : x
  2. Step 2: Convert to fraction form
    327,724.50/494,593.50 = 494,593.50/x
  3. Step 3: Cross multiply
    327,724.50x = 494,593.50 × 494,593.50
  4. Step 4: Simplify right side
    327,724.50x = 244,622,730,242.25
  5. Step 5: Solve for x
    x = 244,622,730,242.25/327,724.50
  6. Step 6: Final answer
    x = 746,427.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.