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Finding the Third Proportional to 366.19 and 863.44

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Solution

The third proportional to 366.19 and 863.44 is: 2,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.19 : 863.44 = 863.44 : x
  2. Step 2: Convert to fraction form
    366.19/863.44 = 863.44/x
  3. Step 3: Cross multiply
    366.19x = 863.44 × 863.44
  4. Step 4: Simplify right side
    366.19x = 745,524.32
  5. Step 5: Solve for x
    x = 745,524.32/366.19
  6. Step 6: Final answer
    x = 2,035.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.