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Finding the Third Proportional to 267,640.75 and 394,068

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Solution

The third proportional to 267,640.75 and 394,068 is: 580,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,640.75 : 394,068 = 394,068 : x
  2. Step 2: Convert to fraction form
    267,640.75/394,068 = 394,068/x
  3. Step 3: Cross multiply
    267,640.75x = 394,068 × 394,068
  4. Step 4: Simplify right side
    267,640.75x = 155,289,588,624
  5. Step 5: Solve for x
    x = 155,289,588,624/267,640.75
  6. Step 6: Final answer
    x = 580,216.54

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Why These Related Problems?

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