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Finding the Third Proportional to 394.88 and 829.41

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Solution

The third proportional to 394.88 and 829.41 is: 1,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.88 : 829.41 = 829.41 : x
  2. Step 2: Convert to fraction form
    394.88/829.41 = 829.41/x
  3. Step 3: Cross multiply
    394.88x = 829.41 × 829.41
  4. Step 4: Simplify right side
    394.88x = 687,914.73
  5. Step 5: Solve for x
    x = 687,914.73/394.88
  6. Step 6: Final answer
    x = 1,742.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.