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Finding the Third Proportional to 417.75 and 627.88

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Solution

The third proportional to 417.75 and 627.88 is: 943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.75 : 627.88 = 627.88 : x
  2. Step 2: Convert to fraction form
    417.75/627.88 = 627.88/x
  3. Step 3: Cross multiply
    417.75x = 627.88 × 627.88
  4. Step 4: Simplify right side
    417.75x = 394,227.02
  5. Step 5: Solve for x
    x = 394,227.02/417.75
  6. Step 6: Final answer
    x = 943.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.