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Finding the Third Proportional to 442,857 and 687,614

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Solution

The third proportional to 442,857 and 687,614 is: 1,067,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,857 : 687,614 = 687,614 : x
  2. Step 2: Convert to fraction form
    442,857/687,614 = 687,614/x
  3. Step 3: Cross multiply
    442,857x = 687,614 × 687,614
  4. Step 4: Simplify right side
    442,857x = 472,813,012,996
  5. Step 5: Solve for x
    x = 472,813,012,996/442,857
  6. Step 6: Final answer
    x = 1,067,642.63

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