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Finding the Third Proportional to 537.88 and 725.75

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Solution

The third proportional to 537.88 and 725.75 is: 979.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.88 : 725.75 = 725.75 : x
  2. Step 2: Convert to fraction form
    537.88/725.75 = 725.75/x
  3. Step 3: Cross multiply
    537.88x = 725.75 × 725.75
  4. Step 4: Simplify right side
    537.88x = 526,713.06
  5. Step 5: Solve for x
    x = 526,713.06/537.88
  6. Step 6: Final answer
    x = 979.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.