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Finding the Third Proportional to 414.75 and 896.81

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Solution

The third proportional to 414.75 and 896.81 is: 1,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.75 : 896.81 = 896.81 : x
  2. Step 2: Convert to fraction form
    414.75/896.81 = 896.81/x
  3. Step 3: Cross multiply
    414.75x = 896.81 × 896.81
  4. Step 4: Simplify right side
    414.75x = 804,272.66
  5. Step 5: Solve for x
    x = 804,272.66/414.75
  6. Step 6: Final answer
    x = 1,939.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.