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Finding the Third Proportional to 754.25 and 1,325.75

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Solution

The third proportional to 754.25 and 1,325.75 is: 2,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.25 : 1,325.75 = 1,325.75 : x
  2. Step 2: Convert to fraction form
    754.25/1,325.75 = 1,325.75/x
  3. Step 3: Cross multiply
    754.25x = 1,325.75 × 1,325.75
  4. Step 4: Simplify right side
    754.25x = 1,757,613.06
  5. Step 5: Solve for x
    x = 1,757,613.06/754.25
  6. Step 6: Final answer
    x = 2,330.28

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.