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Finding the Third Proportional to 863.72 and 1,336.78

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Solution

The third proportional to 863.72 and 1,336.78 is: 2,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,336.78 = 1,336.78 : x
  2. Step 2: Convert to fraction form
    863.72/1,336.78 = 1,336.78/x
  3. Step 3: Cross multiply
    863.72x = 1,336.78 × 1,336.78
  4. Step 4: Simplify right side
    863.72x = 1,786,984.11
  5. Step 5: Solve for x
    x = 1,786,984.11/863.72
  6. Step 6: Final answer
    x = 2,068.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.