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Finding the Third Proportional to 222,809 and 463,977

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Solution

The third proportional to 222,809 and 463,977 is: 966,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,809 : 463,977 = 463,977 : x
  2. Step 2: Convert to fraction form
    222,809/463,977 = 463,977/x
  3. Step 3: Cross multiply
    222,809x = 463,977 × 463,977
  4. Step 4: Simplify right side
    222,809x = 215,274,656,529
  5. Step 5: Solve for x
    x = 215,274,656,529/222,809
  6. Step 6: Final answer
    x = 966,184.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.