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Finding the Third Proportional to 268,372 and 548,396

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Solution

The third proportional to 268,372 and 548,396 is: 1,120,601.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,372 : 548,396 = 548,396 : x
  2. Step 2: Convert to fraction form
    268,372/548,396 = 548,396/x
  3. Step 3: Cross multiply
    268,372x = 548,396 × 548,396
  4. Step 4: Simplify right side
    268,372x = 300,738,172,816
  5. Step 5: Solve for x
    x = 300,738,172,816/268,372
  6. Step 6: Final answer
    x = 1,120,601.90

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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.