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Finding the Third Proportional to 240,718 and 372,538

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Solution

The third proportional to 240,718 and 372,538 is: 576,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,718 : 372,538 = 372,538 : x
  2. Step 2: Convert to fraction form
    240,718/372,538 = 372,538/x
  3. Step 3: Cross multiply
    240,718x = 372,538 × 372,538
  4. Step 4: Simplify right side
    240,718x = 138,784,561,444
  5. Step 5: Solve for x
    x = 138,784,561,444/240,718
  6. Step 6: Final answer
    x = 576,544.18

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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.