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Finding the Third Proportional to 414.14 and 895.78

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Solution

The third proportional to 414.14 and 895.78 is: 1,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 895.78 = 895.78 : x
  2. Step 2: Convert to fraction form
    414.14/895.78 = 895.78/x
  3. Step 3: Cross multiply
    414.14x = 895.78 × 895.78
  4. Step 4: Simplify right side
    414.14x = 802,424.05
  5. Step 5: Solve for x
    x = 802,424.05/414.14
  6. Step 6: Final answer
    x = 1,937.56

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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.