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Finding the Third Proportional to 285,755.50 and 627,914

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Solution

The third proportional to 285,755.50 and 627,914 is: 1,379,766.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,755.50 : 627,914 = 627,914 : x
  2. Step 2: Convert to fraction form
    285,755.50/627,914 = 627,914/x
  3. Step 3: Cross multiply
    285,755.50x = 627,914 × 627,914
  4. Step 4: Simplify right side
    285,755.50x = 394,275,991,396
  5. Step 5: Solve for x
    x = 394,275,991,396/285,755.50
  6. Step 6: Final answer
    x = 1,379,766.94

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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.