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Finding the Third Proportional to 725.88 and 794.88

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Solution

The third proportional to 725.88 and 794.88 is: 870.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.88 : 794.88 = 794.88 : x
  2. Step 2: Convert to fraction form
    725.88/794.88 = 794.88/x
  3. Step 3: Cross multiply
    725.88x = 794.88 × 794.88
  4. Step 4: Simplify right side
    725.88x = 631,826.27
  5. Step 5: Solve for x
    x = 631,826.27/725.88
  6. Step 6: Final answer
    x = 870.43

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.