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Finding the Third Proportional to 222,032 and 481,504

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Solution

The third proportional to 222,032 and 481,504 is: 1,044,201.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,032 : 481,504 = 481,504 : x
  2. Step 2: Convert to fraction form
    222,032/481,504 = 481,504/x
  3. Step 3: Cross multiply
    222,032x = 481,504 × 481,504
  4. Step 4: Simplify right side
    222,032x = 231,846,102,016
  5. Step 5: Solve for x
    x = 231,846,102,016/222,032
  6. Step 6: Final answer
    x = 1,044,201.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.