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Finding the Third Proportional to 222,054 and 475,836

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Solution

The third proportional to 222,054 and 475,836 is: 1,019,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,054 : 475,836 = 475,836 : x
  2. Step 2: Convert to fraction form
    222,054/475,836 = 475,836/x
  3. Step 3: Cross multiply
    222,054x = 475,836 × 475,836
  4. Step 4: Simplify right side
    222,054x = 226,419,898,896
  5. Step 5: Solve for x
    x = 226,419,898,896/222,054
  6. Step 6: Final answer
    x = 1,019,661.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.