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Finding the Third Proportional to 240.75 and 582.19

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Solution

The third proportional to 240.75 and 582.19 is: 1,407.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.75 : 582.19 = 582.19 : x
  2. Step 2: Convert to fraction form
    240.75/582.19 = 582.19/x
  3. Step 3: Cross multiply
    240.75x = 582.19 × 582.19
  4. Step 4: Simplify right side
    240.75x = 338,942.29
  5. Step 5: Solve for x
    x = 338,942.29/240.75
  6. Step 6: Final answer
    x = 1,407.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.