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Finding the Third Proportional to 275,252 and 402,257

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Solution

The third proportional to 275,252 and 402,257 is: 587,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,252 : 402,257 = 402,257 : x
  2. Step 2: Convert to fraction form
    275,252/402,257 = 402,257/x
  3. Step 3: Cross multiply
    275,252x = 402,257 × 402,257
  4. Step 4: Simplify right side
    275,252x = 161,810,694,049
  5. Step 5: Solve for x
    x = 161,810,694,049/275,252
  6. Step 6: Final answer
    x = 587,863.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.