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Finding the Third Proportional to 488.44 and 754.13

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Solution

The third proportional to 488.44 and 754.13 is: 1,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.44 : 754.13 = 754.13 : x
  2. Step 2: Convert to fraction form
    488.44/754.13 = 754.13/x
  3. Step 3: Cross multiply
    488.44x = 754.13 × 754.13
  4. Step 4: Simplify right side
    488.44x = 568,704.52
  5. Step 5: Solve for x
    x = 568,704.52/488.44
  6. Step 6: Final answer
    x = 1,164.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.