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Finding the Third Proportional to 441,304 and 681,928

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Solution

The third proportional to 441,304 and 681,928 is: 1,053,753.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,304 : 681,928 = 681,928 : x
  2. Step 2: Convert to fraction form
    441,304/681,928 = 681,928/x
  3. Step 3: Cross multiply
    441,304x = 681,928 × 681,928
  4. Step 4: Simplify right side
    441,304x = 465,025,797,184
  5. Step 5: Solve for x
    x = 465,025,797,184/441,304
  6. Step 6: Final answer
    x = 1,053,753.87

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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.