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Finding the Third Proportional to 513.25 and 765.75

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Solution

The third proportional to 513.25 and 765.75 is: 1,142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.25 : 765.75 = 765.75 : x
  2. Step 2: Convert to fraction form
    513.25/765.75 = 765.75/x
  3. Step 3: Cross multiply
    513.25x = 765.75 × 765.75
  4. Step 4: Simplify right side
    513.25x = 586,373.06
  5. Step 5: Solve for x
    x = 586,373.06/513.25
  6. Step 6: Final answer
    x = 1,142.47

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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.