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Finding the Third Proportional to 694.55 and 1,504.27

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Solution

The third proportional to 694.55 and 1,504.27 is: 3,257.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.55 : 1,504.27 = 1,504.27 : x
  2. Step 2: Convert to fraction form
    694.55/1,504.27 = 1,504.27/x
  3. Step 3: Cross multiply
    694.55x = 1,504.27 × 1,504.27
  4. Step 4: Simplify right side
    694.55x = 2,262,815.07
  5. Step 5: Solve for x
    x = 2,262,815.07/694.55
  6. Step 6: Final answer
    x = 3,257.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.