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Finding the Third Proportional to 275,212 and 558,170

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Solution

The third proportional to 275,212 and 558,170 is: 1,132,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,212 : 558,170 = 558,170 : x
  2. Step 2: Convert to fraction form
    275,212/558,170 = 558,170/x
  3. Step 3: Cross multiply
    275,212x = 558,170 × 558,170
  4. Step 4: Simplify right side
    275,212x = 311,553,748,900
  5. Step 5: Solve for x
    x = 311,553,748,900/275,212
  6. Step 6: Final answer
    x = 1,132,050.02

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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.