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Finding the Third Proportional to 250,800 and 548,256

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Solution

The third proportional to 250,800 and 548,256 is: 1,198,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,800 : 548,256 = 548,256 : x
  2. Step 2: Convert to fraction form
    250,800/548,256 = 548,256/x
  3. Step 3: Cross multiply
    250,800x = 548,256 × 548,256
  4. Step 4: Simplify right side
    250,800x = 300,584,641,536
  5. Step 5: Solve for x
    x = 300,584,641,536/250,800
  6. Step 6: Final answer
    x = 1,198,503.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.