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Finding the Third Proportional to 712.97 and 1,560.23

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Solution

The third proportional to 712.97 and 1,560.23 is: 3,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.97 : 1,560.23 = 1,560.23 : x
  2. Step 2: Convert to fraction form
    712.97/1,560.23 = 1,560.23/x
  3. Step 3: Cross multiply
    712.97x = 1,560.23 × 1,560.23
  4. Step 4: Simplify right side
    712.97x = 2,434,331.30
  5. Step 5: Solve for x
    x = 2,434,331.30/712.97
  6. Step 6: Final answer
    x = 3,414.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.