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Finding the Third Proportional to 222,372 and 489,027

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Solution

The third proportional to 222,372 and 489,027 is: 1,075,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,372 : 489,027 = 489,027 : x
  2. Step 2: Convert to fraction form
    222,372/489,027 = 489,027/x
  3. Step 3: Cross multiply
    222,372x = 489,027 × 489,027
  4. Step 4: Simplify right side
    222,372x = 239,147,406,729
  5. Step 5: Solve for x
    x = 239,147,406,729/222,372
  6. Step 6: Final answer
    x = 1,075,438.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.