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Finding the Third Proportional to 414.94 and 663.38

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Solution

The third proportional to 414.94 and 663.38 is: 1,060.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 663.38 = 663.38 : x
  2. Step 2: Convert to fraction form
    414.94/663.38 = 663.38/x
  3. Step 3: Cross multiply
    414.94x = 663.38 × 663.38
  4. Step 4: Simplify right side
    414.94x = 440,066.39
  5. Step 5: Solve for x
    x = 440,066.39/414.94
  6. Step 6: Final answer
    x = 1,060.56

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.