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Finding the Third Proportional to 694.27 and 1,491.33

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Solution

The third proportional to 694.27 and 1,491.33 is: 3,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.27 : 1,491.33 = 1,491.33 : x
  2. Step 2: Convert to fraction form
    694.27/1,491.33 = 1,491.33/x
  3. Step 3: Cross multiply
    694.27x = 1,491.33 × 1,491.33
  4. Step 4: Simplify right side
    694.27x = 2,224,059.58
  5. Step 5: Solve for x
    x = 2,224,059.58/694.27
  6. Step 6: Final answer
    x = 3,203.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.