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Finding the Third Proportional to 222,822 and 464,001

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Solution

The third proportional to 222,822 and 464,001 is: 966,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,822 : 464,001 = 464,001 : x
  2. Step 2: Convert to fraction form
    222,822/464,001 = 464,001/x
  3. Step 3: Cross multiply
    222,822x = 464,001 × 464,001
  4. Step 4: Simplify right side
    222,822x = 215,296,928,001
  5. Step 5: Solve for x
    x = 215,296,928,001/222,822
  6. Step 6: Final answer
    x = 966,228.33

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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.