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Finding the Third Proportional to 372,708 and 496,566

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Solution

The third proportional to 372,708 and 496,566 is: 661,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,708 : 496,566 = 496,566 : x
  2. Step 2: Convert to fraction form
    372,708/496,566 = 496,566/x
  3. Step 3: Cross multiply
    372,708x = 496,566 × 496,566
  4. Step 4: Simplify right side
    372,708x = 246,577,792,356
  5. Step 5: Solve for x
    x = 246,577,792,356/372,708
  6. Step 6: Final answer
    x = 661,584.38

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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.