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Finding the Third Proportional to 535.36 and 800.82

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Solution

The third proportional to 535.36 and 800.82 is: 1,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.36 : 800.82 = 800.82 : x
  2. Step 2: Convert to fraction form
    535.36/800.82 = 800.82/x
  3. Step 3: Cross multiply
    535.36x = 800.82 × 800.82
  4. Step 4: Simplify right side
    535.36x = 641,319.43
  5. Step 5: Solve for x
    x = 641,319.43/535.36
  6. Step 6: Final answer
    x = 1,197.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.