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Finding the Third Proportional to 235.27 and 494.79

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Solution

The third proportional to 235.27 and 494.79 is: 1,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.27 : 494.79 = 494.79 : x
  2. Step 2: Convert to fraction form
    235.27/494.79 = 494.79/x
  3. Step 3: Cross multiply
    235.27x = 494.79 × 494.79
  4. Step 4: Simplify right side
    235.27x = 244,816.22
  5. Step 5: Solve for x
    x = 244,816.22/235.27
  6. Step 6: Final answer
    x = 1,040.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.