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Finding the Third Proportional to 261,944 and 558,234

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Solution

The third proportional to 261,944 and 558,234 is: 1,189,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,944 : 558,234 = 558,234 : x
  2. Step 2: Convert to fraction form
    261,944/558,234 = 558,234/x
  3. Step 3: Cross multiply
    261,944x = 558,234 × 558,234
  4. Step 4: Simplify right side
    261,944x = 311,625,198,756
  5. Step 5: Solve for x
    x = 311,625,198,756/261,944
  6. Step 6: Final answer
    x = 1,189,663.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.