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Finding the Third Proportional to 513.75 and 767.25

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Solution

The third proportional to 513.75 and 767.25 is: 1,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 767.25 = 767.25 : x
  2. Step 2: Convert to fraction form
    513.75/767.25 = 767.25/x
  3. Step 3: Cross multiply
    513.75x = 767.25 × 767.25
  4. Step 4: Simplify right side
    513.75x = 588,672.56
  5. Step 5: Solve for x
    x = 588,672.56/513.75
  6. Step 6: Final answer
    x = 1,145.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.