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Finding the Third Proportional to 301.13 and 694.31

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Solution

The third proportional to 301.13 and 694.31 is: 1,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.13 : 694.31 = 694.31 : x
  2. Step 2: Convert to fraction form
    301.13/694.31 = 694.31/x
  3. Step 3: Cross multiply
    301.13x = 694.31 × 694.31
  4. Step 4: Simplify right side
    301.13x = 482,069.85
  5. Step 5: Solve for x
    x = 482,069.85/301.13
  6. Step 6: Final answer
    x = 1,600.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.