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Finding the Third Proportional to 414.94 and 619.97

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Solution

The third proportional to 414.94 and 619.97 is: 926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.94 : 619.97 = 619.97 : x
  2. Step 2: Convert to fraction form
    414.94/619.97 = 619.97/x
  3. Step 3: Cross multiply
    414.94x = 619.97 × 619.97
  4. Step 4: Simplify right side
    414.94x = 384,361.25
  5. Step 5: Solve for x
    x = 384,361.25/414.94
  6. Step 6: Final answer
    x = 926.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.