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Finding the Third Proportional to 263,096 and 568,231

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Solution

The third proportional to 263,096 and 568,231 is: 1,227,257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,096 : 568,231 = 568,231 : x
  2. Step 2: Convert to fraction form
    263,096/568,231 = 568,231/x
  3. Step 3: Cross multiply
    263,096x = 568,231 × 568,231
  4. Step 4: Simplify right side
    263,096x = 322,886,469,361
  5. Step 5: Solve for x
    x = 322,886,469,361/263,096
  6. Step 6: Final answer
    x = 1,227,257.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.