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Finding the Third Proportional to 275,215 and 558,177

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Solution

The third proportional to 275,215 and 558,177 is: 1,132,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,215 : 558,177 = 558,177 : x
  2. Step 2: Convert to fraction form
    275,215/558,177 = 558,177/x
  3. Step 3: Cross multiply
    275,215x = 558,177 × 558,177
  4. Step 4: Simplify right side
    275,215x = 311,561,563,329
  5. Step 5: Solve for x
    x = 311,561,563,329/275,215
  6. Step 6: Final answer
    x = 1,132,066.07

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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.