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Finding the Third Proportional to 712.13 and 1,351.88

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Solution

The third proportional to 712.13 and 1,351.88 is: 2,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 1,351.88 = 1,351.88 : x
  2. Step 2: Convert to fraction form
    712.13/1,351.88 = 1,351.88/x
  3. Step 3: Cross multiply
    712.13x = 1,351.88 × 1,351.88
  4. Step 4: Simplify right side
    712.13x = 1,827,566.02
  5. Step 5: Solve for x
    x = 1,827,566.02/712.13
  6. Step 6: Final answer
    x = 2,566.36

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.