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Finding the Third Proportional to 340.29 and 693.88

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Solution

The third proportional to 340.29 and 693.88 is: 1,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.29 : 693.88 = 693.88 : x
  2. Step 2: Convert to fraction form
    340.29/693.88 = 693.88/x
  3. Step 3: Cross multiply
    340.29x = 693.88 × 693.88
  4. Step 4: Simplify right side
    340.29x = 481,467.94
  5. Step 5: Solve for x
    x = 481,467.94/340.29
  6. Step 6: Final answer
    x = 1,414.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.