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Finding the Third Proportional to 273,587 and 409,282

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Solution

The third proportional to 273,587 and 409,282 is: 612,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,587 : 409,282 = 409,282 : x
  2. Step 2: Convert to fraction form
    273,587/409,282 = 409,282/x
  3. Step 3: Cross multiply
    273,587x = 409,282 × 409,282
  4. Step 4: Simplify right side
    273,587x = 167,511,755,524
  5. Step 5: Solve for x
    x = 167,511,755,524/273,587
  6. Step 6: Final answer
    x = 612,279.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.