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Finding the Third Proportional to 725.88 and 832.75

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Solution

The third proportional to 725.88 and 832.75 is: 955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.88 : 832.75 = 832.75 : x
  2. Step 2: Convert to fraction form
    725.88/832.75 = 832.75/x
  3. Step 3: Cross multiply
    725.88x = 832.75 × 832.75
  4. Step 4: Simplify right side
    725.88x = 693,472.56
  5. Step 5: Solve for x
    x = 693,472.56/725.88
  6. Step 6: Final answer
    x = 955.36

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.