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Finding the Third Proportional to 222,562 and 494,880

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Solution

The third proportional to 222,562 and 494,880 is: 1,100,395.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,562 : 494,880 = 494,880 : x
  2. Step 2: Convert to fraction form
    222,562/494,880 = 494,880/x
  3. Step 3: Cross multiply
    222,562x = 494,880 × 494,880
  4. Step 4: Simplify right side
    222,562x = 244,906,214,400
  5. Step 5: Solve for x
    x = 244,906,214,400/222,562
  6. Step 6: Final answer
    x = 1,100,395.46

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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.