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Finding the Third Proportional to 275,206 and 606,286

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Solution

The third proportional to 275,206 and 606,286 is: 1,335,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,206 : 606,286 = 606,286 : x
  2. Step 2: Convert to fraction form
    275,206/606,286 = 606,286/x
  3. Step 3: Cross multiply
    275,206x = 606,286 × 606,286
  4. Step 4: Simplify right side
    275,206x = 367,582,713,796
  5. Step 5: Solve for x
    x = 367,582,713,796/275,206
  6. Step 6: Final answer
    x = 1,335,663.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.