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Finding the Third Proportional to 514.97 and 813.80

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Solution

The third proportional to 514.97 and 813.80 is: 1,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.97 : 813.80 = 813.80 : x
  2. Step 2: Convert to fraction form
    514.97/813.80 = 813.80/x
  3. Step 3: Cross multiply
    514.97x = 813.80 × 813.80
  4. Step 4: Simplify right side
    514.97x = 662,265.35
  5. Step 5: Solve for x
    x = 662,265.35/514.97
  6. Step 6: Final answer
    x = 1,286.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.