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Finding the Third Proportional to 372,717 and 496,578

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Solution

The third proportional to 372,717 and 496,578 is: 661,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,717 : 496,578 = 496,578 : x
  2. Step 2: Convert to fraction form
    372,717/496,578 = 496,578/x
  3. Step 3: Cross multiply
    372,717x = 496,578 × 496,578
  4. Step 4: Simplify right side
    372,717x = 246,589,710,084
  5. Step 5: Solve for x
    x = 246,589,710,084/372,717
  6. Step 6: Final answer
    x = 661,600.38

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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.