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Finding the Third Proportional to 372,734 and 496,601

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Solution

The third proportional to 372,734 and 496,601 is: 661,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,734 : 496,601 = 496,601 : x
  2. Step 2: Convert to fraction form
    372,734/496,601 = 496,601/x
  3. Step 3: Cross multiply
    372,734x = 496,601 × 496,601
  4. Step 4: Simplify right side
    372,734x = 246,612,553,201
  5. Step 5: Solve for x
    x = 246,612,553,201/372,734
  6. Step 6: Final answer
    x = 661,631.49

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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.