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Finding the Third Proportional to 412,614 and 627,350.06

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Solution

The third proportional to 412,614 and 627,350.06 is: 953,840.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,614 : 627,350.06 = 627,350.06 : x
  2. Step 2: Convert to fraction form
    412,614/627,350.06 = 627,350.06/x
  3. Step 3: Cross multiply
    412,614x = 627,350.06 × 627,350.06
  4. Step 4: Simplify right side
    412,614x = 393,568,100,918.75
  5. Step 5: Solve for x
    x = 393,568,100,918.75/412,614
  6. Step 6: Final answer
    x = 953,840.88

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.