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Finding the Third Proportional to 712.13 and 1,447.88

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Solution

The third proportional to 712.13 and 1,447.88 is: 2,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,447.88 = 1,447.88 : x
  2. Step 2: Convert to fraction form
    712.13/1,447.88 = 1,447.88/x
  3. Step 3: Cross multiply
    712.13x = 1,447.88 × 1,447.88
  4. Step 4: Simplify right side
    712.13x = 2,096,342.02
  5. Step 5: Solve for x
    x = 2,096,342.02/712.13
  6. Step 6: Final answer
    x = 2,943.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.