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Finding the Third Proportional to 268,180 and 558,608

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Solution

The third proportional to 268,180 and 558,608 is: 1,163,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,180 : 558,608 = 558,608 : x
  2. Step 2: Convert to fraction form
    268,180/558,608 = 558,608/x
  3. Step 3: Cross multiply
    268,180x = 558,608 × 558,608
  4. Step 4: Simplify right side
    268,180x = 312,042,897,664
  5. Step 5: Solve for x
    x = 312,042,897,664/268,180
  6. Step 6: Final answer
    x = 1,163,557.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.