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Finding the Third Proportional to 222,317 and 494,373

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Solution

The third proportional to 222,317 and 494,373 is: 1,099,352.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,317 : 494,373 = 494,373 : x
  2. Step 2: Convert to fraction form
    222,317/494,373 = 494,373/x
  3. Step 3: Cross multiply
    222,317x = 494,373 × 494,373
  4. Step 4: Simplify right side
    222,317x = 244,404,663,129
  5. Step 5: Solve for x
    x = 244,404,663,129/222,317
  6. Step 6: Final answer
    x = 1,099,352.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.