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Finding the Third Proportional to 694.20 and 1,466.44

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Solution

The third proportional to 694.20 and 1,466.44 is: 3,097.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.20 : 1,466.44 = 1,466.44 : x
  2. Step 2: Convert to fraction form
    694.20/1,466.44 = 1,466.44/x
  3. Step 3: Cross multiply
    694.20x = 1,466.44 × 1,466.44
  4. Step 4: Simplify right side
    694.20x = 2,150,438.94
  5. Step 5: Solve for x
    x = 2,150,438.94/694.20
  6. Step 6: Final answer
    x = 3,097.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.