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Finding the Third Proportional to 327,739.50 and 494,617.50

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Solution

The third proportional to 327,739.50 and 494,617.50 is: 746,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,739.50 : 494,617.50 = 494,617.50 : x
  2. Step 2: Convert to fraction form
    327,739.50/494,617.50 = 494,617.50/x
  3. Step 3: Cross multiply
    327,739.50x = 494,617.50 × 494,617.50
  4. Step 4: Simplify right side
    327,739.50x = 244,646,471,306.25
  5. Step 5: Solve for x
    x = 244,646,471,306.25/327,739.50
  6. Step 6: Final answer
    x = 746,466.24

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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.