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Finding the Third Proportional to 429.21 and 682.17

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Solution

The third proportional to 429.21 and 682.17 is: 1,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.21 : 682.17 = 682.17 : x
  2. Step 2: Convert to fraction form
    429.21/682.17 = 682.17/x
  3. Step 3: Cross multiply
    429.21x = 682.17 × 682.17
  4. Step 4: Simplify right side
    429.21x = 465,358.47
  5. Step 5: Solve for x
    x = 465,358.47/429.21
  6. Step 6: Final answer
    x = 1,084.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.