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Finding the Third Proportional to 493.28 and 694.20

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Solution

The third proportional to 493.28 and 694.20 is: 976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.28 : 694.20 = 694.20 : x
  2. Step 2: Convert to fraction form
    493.28/694.20 = 694.20/x
  3. Step 3: Cross multiply
    493.28x = 694.20 × 694.20
  4. Step 4: Simplify right side
    493.28x = 481,907.13
  5. Step 5: Solve for x
    x = 481,907.13/493.28
  6. Step 6: Final answer
    x = 976.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.