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Finding the Third Proportional to 694.13 and 1,503.42

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Solution

The third proportional to 694.13 and 1,503.42 is: 3,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.13 : 1,503.42 = 1,503.42 : x
  2. Step 2: Convert to fraction form
    694.13/1,503.42 = 1,503.42/x
  3. Step 3: Cross multiply
    694.13x = 1,503.42 × 1,503.42
  4. Step 4: Simplify right side
    694.13x = 2,260,277.33
  5. Step 5: Solve for x
    x = 2,260,277.33/694.13
  6. Step 6: Final answer
    x = 3,256.30

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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.