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Finding the Third Proportional to 519.38 and 794.13

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Solution

The third proportional to 519.38 and 794.13 is: 1,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 794.13 = 794.13 : x
  2. Step 2: Convert to fraction form
    519.38/794.13 = 794.13/x
  3. Step 3: Cross multiply
    519.38x = 794.13 × 794.13
  4. Step 4: Simplify right side
    519.38x = 630,634.52
  5. Step 5: Solve for x
    x = 630,634.52/519.38
  6. Step 6: Final answer
    x = 1,214.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.