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Finding the Third Proportional to 639.14 and 943.52

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Solution

The third proportional to 639.14 and 943.52 is: 1,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.14 : 943.52 = 943.52 : x
  2. Step 2: Convert to fraction form
    639.14/943.52 = 943.52/x
  3. Step 3: Cross multiply
    639.14x = 943.52 × 943.52
  4. Step 4: Simplify right side
    639.14x = 890,236.48
  5. Step 5: Solve for x
    x = 890,236.48/639.14
  6. Step 6: Final answer
    x = 1,392.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.