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Finding the Third Proportional to 222,245 and 488,986

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Solution

The third proportional to 222,245 and 488,986 is: 1,075,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,245 : 488,986 = 488,986 : x
  2. Step 2: Convert to fraction form
    222,245/488,986 = 488,986/x
  3. Step 3: Cross multiply
    222,245x = 488,986 × 488,986
  4. Step 4: Simplify right side
    222,245x = 239,107,308,196
  5. Step 5: Solve for x
    x = 239,107,308,196/222,245
  6. Step 6: Final answer
    x = 1,075,872.61

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