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Finding the Third Proportional to 254,591 and 548,530

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Solution

The third proportional to 254,591 and 548,530 is: 1,181,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,591 : 548,530 = 548,530 : x
  2. Step 2: Convert to fraction form
    254,591/548,530 = 548,530/x
  3. Step 3: Cross multiply
    254,591x = 548,530 × 548,530
  4. Step 4: Simplify right side
    254,591x = 300,885,160,900
  5. Step 5: Solve for x
    x = 300,885,160,900/254,591
  6. Step 6: Final answer
    x = 1,181,837.38

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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.