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Finding the Third Proportional to 273,563 and 409,249

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Solution

The third proportional to 273,563 and 409,249 is: 612,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,563 : 409,249 = 409,249 : x
  2. Step 2: Convert to fraction form
    273,563/409,249 = 409,249/x
  3. Step 3: Cross multiply
    273,563x = 409,249 × 409,249
  4. Step 4: Simplify right side
    273,563x = 167,484,744,001
  5. Step 5: Solve for x
    x = 167,484,744,001/273,563
  6. Step 6: Final answer
    x = 612,234.64

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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.