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Finding the Third Proportional to 512.75 and 815.13

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Solution

The third proportional to 512.75 and 815.13 is: 1,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 815.13 = 815.13 : x
  2. Step 2: Convert to fraction form
    512.75/815.13 = 815.13/x
  3. Step 3: Cross multiply
    512.75x = 815.13 × 815.13
  4. Step 4: Simplify right side
    512.75x = 664,428.77
  5. Step 5: Solve for x
    x = 664,428.77/512.75
  6. Step 6: Final answer
    x = 1,295.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.