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Finding the Third Proportional to 403.97 and 829.78

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Solution

The third proportional to 403.97 and 829.78 is: 1,704.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.97 : 829.78 = 829.78 : x
  2. Step 2: Convert to fraction form
    403.97/829.78 = 829.78/x
  3. Step 3: Cross multiply
    403.97x = 829.78 × 829.78
  4. Step 4: Simplify right side
    403.97x = 688,536.92
  5. Step 5: Solve for x
    x = 688,536.92/403.97
  6. Step 6: Final answer
    x = 1,704.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.