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Finding the Third Proportional to 512.50 and 814.75

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Solution

The third proportional to 512.50 and 814.75 is: 1,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.50 : 814.75 = 814.75 : x
  2. Step 2: Convert to fraction form
    512.50/814.75 = 814.75/x
  3. Step 3: Cross multiply
    512.50x = 814.75 × 814.75
  4. Step 4: Simplify right side
    512.50x = 663,817.56
  5. Step 5: Solve for x
    x = 663,817.56/512.50
  6. Step 6: Final answer
    x = 1,295.25

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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.