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Finding the Third Proportional to 414.38 and 912.94

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Solution

The third proportional to 414.38 and 912.94 is: 2,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 912.94 = 912.94 : x
  2. Step 2: Convert to fraction form
    414.38/912.94 = 912.94/x
  3. Step 3: Cross multiply
    414.38x = 912.94 × 912.94
  4. Step 4: Simplify right side
    414.38x = 833,454.88
  5. Step 5: Solve for x
    x = 833,454.88/414.38
  6. Step 6: Final answer
    x = 2,011.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.