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Finding the Third Proportional to 268,360 and 548,372

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Solution

The third proportional to 268,360 and 548,372 is: 1,120,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,360 : 548,372 = 548,372 : x
  2. Step 2: Convert to fraction form
    268,360/548,372 = 548,372/x
  3. Step 3: Cross multiply
    268,360x = 548,372 × 548,372
  4. Step 4: Simplify right side
    268,360x = 300,711,850,384
  5. Step 5: Solve for x
    x = 300,711,850,384/268,360
  6. Step 6: Final answer
    x = 1,120,553.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.