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Finding the Third Proportional to 414 and 860.75

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Solution

The third proportional to 414 and 860.75 is: 1,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 860.75 = 860.75 : x
  2. Step 2: Convert to fraction form
    414/860.75 = 860.75/x
  3. Step 3: Cross multiply
    414x = 860.75 × 860.75
  4. Step 4: Simplify right side
    414x = 740,890.56
  5. Step 5: Solve for x
    x = 740,890.56/414
  6. Step 6: Final answer
    x = 1,789.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.