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Finding the Third Proportional to 414.50 and 881.50

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Solution

The third proportional to 414.50 and 881.50 is: 1,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 881.50 = 881.50 : x
  2. Step 2: Convert to fraction form
    414.50/881.50 = 881.50/x
  3. Step 3: Cross multiply
    414.50x = 881.50 × 881.50
  4. Step 4: Simplify right side
    414.50x = 777,042.25
  5. Step 5: Solve for x
    x = 777,042.25/414.50
  6. Step 6: Final answer
    x = 1,874.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.