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Finding the Third Proportional to 222,326 and 479,644

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Solution

The third proportional to 222,326 and 479,644 is: 1,034,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,326 : 479,644 = 479,644 : x
  2. Step 2: Convert to fraction form
    222,326/479,644 = 479,644/x
  3. Step 3: Cross multiply
    222,326x = 479,644 × 479,644
  4. Step 4: Simplify right side
    222,326x = 230,058,366,736
  5. Step 5: Solve for x
    x = 230,058,366,736/222,326
  6. Step 6: Final answer
    x = 1,034,779.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.