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Finding the Third Proportional to 285,732 and 627,870

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Solution

The third proportional to 285,732 and 627,870 is: 1,379,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,732 : 627,870 = 627,870 : x
  2. Step 2: Convert to fraction form
    285,732/627,870 = 627,870/x
  3. Step 3: Cross multiply
    285,732x = 627,870 × 627,870
  4. Step 4: Simplify right side
    285,732x = 394,220,736,900
  5. Step 5: Solve for x
    x = 394,220,736,900/285,732
  6. Step 6: Final answer
    x = 1,379,687.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.