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Finding the Third Proportional to 627.91 and 941.86

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Solution

The third proportional to 627.91 and 941.86 is: 1,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.91 : 941.86 = 941.86 : x
  2. Step 2: Convert to fraction form
    627.91/941.86 = 941.86/x
  3. Step 3: Cross multiply
    627.91x = 941.86 × 941.86
  4. Step 4: Simplify right side
    627.91x = 887,104.60
  5. Step 5: Solve for x
    x = 887,104.60/627.91
  6. Step 6: Final answer
    x = 1,412.79

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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.