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Finding the Third Proportional to 712.13 and 788.91

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Solution

The third proportional to 712.13 and 788.91 is: 873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.13 : 788.91 = 788.91 : x
  2. Step 2: Convert to fraction form
    712.13/788.91 = 788.91/x
  3. Step 3: Cross multiply
    712.13x = 788.91 × 788.91
  4. Step 4: Simplify right side
    712.13x = 622,373.07
  5. Step 5: Solve for x
    x = 622,373.07/712.13
  6. Step 6: Final answer
    x = 873.97

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.