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Finding the Third Proportional to 222,022 and 467,253

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Solution

The third proportional to 222,022 and 467,253 is: 983,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,022 : 467,253 = 467,253 : x
  2. Step 2: Convert to fraction form
    222,022/467,253 = 467,253/x
  3. Step 3: Cross multiply
    222,022x = 467,253 × 467,253
  4. Step 4: Simplify right side
    222,022x = 218,325,366,009
  5. Step 5: Solve for x
    x = 218,325,366,009/222,022
  6. Step 6: Final answer
    x = 983,350.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.