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Finding the Third Proportional to 414.84 and 954.42

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Solution

The third proportional to 414.84 and 954.42 is: 2,195.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.84 : 954.42 = 954.42 : x
  2. Step 2: Convert to fraction form
    414.84/954.42 = 954.42/x
  3. Step 3: Cross multiply
    414.84x = 954.42 × 954.42
  4. Step 4: Simplify right side
    414.84x = 910,921.12
  5. Step 5: Solve for x
    x = 910,921.12/414.84
  6. Step 6: Final answer
    x = 2,195.82

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.