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Finding the Third Proportional to 222,066 and 488,416

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Solution

The third proportional to 222,066 and 488,416 is: 1,074,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,066 : 488,416 = 488,416 : x
  2. Step 2: Convert to fraction form
    222,066/488,416 = 488,416/x
  3. Step 3: Cross multiply
    222,066x = 488,416 × 488,416
  4. Step 4: Simplify right side
    222,066x = 238,550,189,056
  5. Step 5: Solve for x
    x = 238,550,189,056/222,066
  6. Step 6: Final answer
    x = 1,074,231.04

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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.