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Finding the Third Proportional to 280,512.50 and 394,560.75

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Solution

The third proportional to 280,512.50 and 394,560.75 is: 554,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,512.50 : 394,560.75 = 394,560.75 : x
  2. Step 2: Convert to fraction form
    280,512.50/394,560.75 = 394,560.75/x
  3. Step 3: Cross multiply
    280,512.50x = 394,560.75 × 394,560.75
  4. Step 4: Simplify right side
    280,512.50x = 155,678,185,440.56
  5. Step 5: Solve for x
    x = 155,678,185,440.56/280,512.50
  6. Step 6: Final answer
    x = 554,977.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.