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Finding the Third Proportional to 254,530 and 548,398

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Solution

The third proportional to 254,530 and 548,398 is: 1,181,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,530 : 548,398 = 548,398 : x
  2. Step 2: Convert to fraction form
    254,530/548,398 = 548,398/x
  3. Step 3: Cross multiply
    254,530x = 548,398 × 548,398
  4. Step 4: Simplify right side
    254,530x = 300,740,366,404
  5. Step 5: Solve for x
    x = 300,740,366,404/254,530
  6. Step 6: Final answer
    x = 1,181,551.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.