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Finding the Third Proportional to 275,217 and 558,181

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Solution

The third proportional to 275,217 and 558,181 is: 1,132,074.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217 : 558,181 = 558,181 : x
  2. Step 2: Convert to fraction form
    275,217/558,181 = 558,181/x
  3. Step 3: Cross multiply
    275,217x = 558,181 × 558,181
  4. Step 4: Simplify right side
    275,217x = 311,566,028,761
  5. Step 5: Solve for x
    x = 311,566,028,761/275,217
  6. Step 6: Final answer
    x = 1,132,074.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.