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Finding the Third Proportional to 222,048 and 475,824

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Solution

The third proportional to 222,048 and 475,824 is: 1,019,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,048 : 475,824 = 475,824 : x
  2. Step 2: Convert to fraction form
    222,048/475,824 = 475,824/x
  3. Step 3: Cross multiply
    222,048x = 475,824 × 475,824
  4. Step 4: Simplify right side
    222,048x = 226,408,478,976
  5. Step 5: Solve for x
    x = 226,408,478,976/222,048
  6. Step 6: Final answer
    x = 1,019,637.55

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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.