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Finding the Third Proportional to 519.50 and 800.84

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Solution

The third proportional to 519.50 and 800.84 is: 1,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 800.84 = 800.84 : x
  2. Step 2: Convert to fraction form
    519.50/800.84 = 800.84/x
  3. Step 3: Cross multiply
    519.50x = 800.84 × 800.84
  4. Step 4: Simplify right side
    519.50x = 641,350.71
  5. Step 5: Solve for x
    x = 641,350.71/519.50
  6. Step 6: Final answer
    x = 1,234.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.