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Finding the Third Proportional to 222,357.38 and 488,994.75

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Solution

The third proportional to 222,357.38 and 488,994.75 is: 1,075,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,357.38 : 488,994.75 = 488,994.75 : x
  2. Step 2: Convert to fraction form
    222,357.38/488,994.75 = 488,994.75/x
  3. Step 3: Cross multiply
    222,357.38x = 488,994.75 × 488,994.75
  4. Step 4: Simplify right side
    222,357.38x = 239,115,865,527.56
  5. Step 5: Solve for x
    x = 239,115,865,527.56/222,357.38
  6. Step 6: Final answer
    x = 1,075,367.37

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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.