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Finding the Third Proportional to 414.56 and 863.16

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Solution

The third proportional to 414.56 and 863.16 is: 1,797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 863.16 = 863.16 : x
  2. Step 2: Convert to fraction form
    414.56/863.16 = 863.16/x
  3. Step 3: Cross multiply
    414.56x = 863.16 × 863.16
  4. Step 4: Simplify right side
    414.56x = 745,038.71
  5. Step 5: Solve for x
    x = 745,038.71/414.56
  6. Step 6: Final answer
    x = 1,797.17

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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.