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Finding the Third Proportional to 705.38 and 1,493.44

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Solution

The third proportional to 705.38 and 1,493.44 is: 3,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 1,493.44 = 1,493.44 : x
  2. Step 2: Convert to fraction form
    705.38/1,493.44 = 1,493.44/x
  3. Step 3: Cross multiply
    705.38x = 1,493.44 × 1,493.44
  4. Step 4: Simplify right side
    705.38x = 2,230,355.57
  5. Step 5: Solve for x
    x = 2,230,355.57/705.38
  6. Step 6: Final answer
    x = 3,161.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.