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Finding the Third Proportional to 203,761 and 447,859

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Solution

The third proportional to 203,761 and 447,859 is: 984,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,761 : 447,859 = 447,859 : x
  2. Step 2: Convert to fraction form
    203,761/447,859 = 447,859/x
  3. Step 3: Cross multiply
    203,761x = 447,859 × 447,859
  4. Step 4: Simplify right side
    203,761x = 200,577,683,881
  5. Step 5: Solve for x
    x = 200,577,683,881/203,761
  6. Step 6: Final answer
    x = 984,377.21

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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.