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Finding the Third Proportional to 220,563 and 330,885

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Solution

The third proportional to 220,563 and 330,885 is: 496,388.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,563 : 330,885 = 330,885 : x
  2. Step 2: Convert to fraction form
    220,563/330,885 = 330,885/x
  3. Step 3: Cross multiply
    220,563x = 330,885 × 330,885
  4. Step 4: Simplify right side
    220,563x = 109,484,883,225
  5. Step 5: Solve for x
    x = 109,484,883,225/220,563
  6. Step 6: Final answer
    x = 496,388.26

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