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Finding the Third Proportional to 240,741 and 372,567

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Solution

The third proportional to 240,741 and 372,567 is: 576,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,741 : 372,567 = 372,567 : x
  2. Step 2: Convert to fraction form
    240,741/372,567 = 372,567/x
  3. Step 3: Cross multiply
    240,741x = 372,567 × 372,567
  4. Step 4: Simplify right side
    240,741x = 138,806,169,489
  5. Step 5: Solve for x
    x = 138,806,169,489/240,741
  6. Step 6: Final answer
    x = 576,578.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.