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Finding the Third Proportional to 222,022 and 484,644

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Solution

The third proportional to 222,022 and 484,644 is: 1,057,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,022 : 484,644 = 484,644 : x
  2. Step 2: Convert to fraction form
    222,022/484,644 = 484,644/x
  3. Step 3: Cross multiply
    222,022x = 484,644 × 484,644
  4. Step 4: Simplify right side
    222,022x = 234,879,806,736
  5. Step 5: Solve for x
    x = 234,879,806,736/222,022
  6. Step 6: Final answer
    x = 1,057,912.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.