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Finding the Third Proportional to 269,874.75 and 396,063.75

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Solution

The third proportional to 269,874.75 and 396,063.75 is: 581,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,874.75 : 396,063.75 = 396,063.75 : x
  2. Step 2: Convert to fraction form
    269,874.75/396,063.75 = 396,063.75/x
  3. Step 3: Cross multiply
    269,874.75x = 396,063.75 × 396,063.75
  4. Step 4: Simplify right side
    269,874.75x = 156,866,494,064.06
  5. Step 5: Solve for x
    x = 156,866,494,064.06/269,874.75
  6. Step 6: Final answer
    x = 581,256.65

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.