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Finding the Third Proportional to 372,739.50 and 496,614.38

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Solution

The third proportional to 372,739.50 and 496,614.38 is: 661,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,739.50 : 496,614.38 = 496,614.38 : x
  2. Step 2: Convert to fraction form
    372,739.50/496,614.38 = 496,614.38/x
  3. Step 3: Cross multiply
    372,739.50x = 496,614.38 × 496,614.38
  4. Step 4: Simplify right side
    372,739.50x = 246,625,837,456.64
  5. Step 5: Solve for x
    x = 246,625,837,456.64/372,739.50
  6. Step 6: Final answer
    x = 661,657.37

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.