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Finding the Third Proportional to 275,206 and 606,281

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Solution

The third proportional to 275,206 and 606,281 is: 1,335,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,206 : 606,281 = 606,281 : x
  2. Step 2: Convert to fraction form
    275,206/606,281 = 606,281/x
  3. Step 3: Cross multiply
    275,206x = 606,281 × 606,281
  4. Step 4: Simplify right side
    275,206x = 367,576,650,961
  5. Step 5: Solve for x
    x = 367,576,650,961/275,206
  6. Step 6: Final answer
    x = 1,335,641.85

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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.