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Finding the Third Proportional to 512.75 and 628.25

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Solution

The third proportional to 512.75 and 628.25 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 628.25 = 628.25 : x
  2. Step 2: Convert to fraction form
    512.75/628.25 = 628.25/x
  3. Step 3: Cross multiply
    512.75x = 628.25 × 628.25
  4. Step 4: Simplify right side
    512.75x = 394,698.06
  5. Step 5: Solve for x
    x = 394,698.06/512.75
  6. Step 6: Final answer
    x = 769.77

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.