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Finding the Third Proportional to 372,743 and 496,615

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Solution

The third proportional to 372,743 and 496,615 is: 661,652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,743 : 496,615 = 496,615 : x
  2. Step 2: Convert to fraction form
    372,743/496,615 = 496,615/x
  3. Step 3: Cross multiply
    372,743x = 496,615 × 496,615
  4. Step 4: Simplify right side
    372,743x = 246,626,458,225
  5. Step 5: Solve for x
    x = 246,626,458,225/372,743
  6. Step 6: Final answer
    x = 661,652.82

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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.