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Finding the Third Proportional to 327,631.50 and 494,454.38

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Solution

The third proportional to 327,631.50 and 494,454.38 is: 746,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,631.50 : 494,454.38 = 494,454.38 : x
  2. Step 2: Convert to fraction form
    327,631.50/494,454.38 = 494,454.38/x
  3. Step 3: Cross multiply
    327,631.50x = 494,454.38 × 494,454.38
  4. Step 4: Simplify right side
    327,631.50x = 244,485,128,956.64
  5. Step 5: Solve for x
    x = 244,485,128,956.64/327,631.50
  6. Step 6: Final answer
    x = 746,219.85

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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.