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Finding the Third Proportional to 414.94 and 829.88

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Solution

The third proportional to 414.94 and 829.88 is: 1,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 829.88 = 829.88 : x
  2. Step 2: Convert to fraction form
    414.94/829.88 = 829.88/x
  3. Step 3: Cross multiply
    414.94x = 829.88 × 829.88
  4. Step 4: Simplify right side
    414.94x = 688,692.52
  5. Step 5: Solve for x
    x = 688,692.52/414.94
  6. Step 6: Final answer
    x = 1,659.75

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.