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Finding the Third Proportional to 649.83 and 847.55

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Solution

The third proportional to 649.83 and 847.55 is: 1,105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.83 : 847.55 = 847.55 : x
  2. Step 2: Convert to fraction form
    649.83/847.55 = 847.55/x
  3. Step 3: Cross multiply
    649.83x = 847.55 × 847.55
  4. Step 4: Simplify right side
    649.83x = 718,335.71
  5. Step 5: Solve for x
    x = 718,335.71/649.83
  6. Step 6: Final answer
    x = 1,105.42

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.