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Finding the Third Proportional to 254,481 and 548,061

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Solution

The third proportional to 254,481 and 548,061 is: 1,180,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,481 : 548,061 = 548,061 : x
  2. Step 2: Convert to fraction form
    254,481/548,061 = 548,061/x
  3. Step 3: Cross multiply
    254,481x = 548,061 × 548,061
  4. Step 4: Simplify right side
    254,481x = 300,370,859,721
  5. Step 5: Solve for x
    x = 300,370,859,721/254,481
  6. Step 6: Final answer
    x = 1,180,327.25

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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.