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Finding the Third Proportional to 222,736 and 463,904

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Solution

The third proportional to 222,736 and 463,904 is: 966,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,736 : 463,904 = 463,904 : x
  2. Step 2: Convert to fraction form
    222,736/463,904 = 463,904/x
  3. Step 3: Cross multiply
    222,736x = 463,904 × 463,904
  4. Step 4: Simplify right side
    222,736x = 215,206,921,216
  5. Step 5: Solve for x
    x = 215,206,921,216/222,736
  6. Step 6: Final answer
    x = 966,197.30

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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.