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Finding the Third Proportional to 222,075 and 488,436.75

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Solution

The third proportional to 222,075 and 488,436.75 is: 1,074,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,075 : 488,436.75 = 488,436.75 : x
  2. Step 2: Convert to fraction form
    222,075/488,436.75 = 488,436.75/x
  3. Step 3: Cross multiply
    222,075x = 488,436.75 × 488,436.75
  4. Step 4: Simplify right side
    222,075x = 238,570,458,750.56
  5. Step 5: Solve for x
    x = 238,570,458,750.56/222,075
  6. Step 6: Final answer
    x = 1,074,278.77

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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.