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Finding the Third Proportional to 222,322.22 and 494,381.60

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Solution

The third proportional to 222,322.22 and 494,381.60 is: 1,099,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,322.22 : 494,381.60 = 494,381.60 : x
  2. Step 2: Convert to fraction form
    222,322.22/494,381.60 = 494,381.60/x
  3. Step 3: Cross multiply
    222,322.22x = 494,381.60 × 494,381.60
  4. Step 4: Simplify right side
    222,322.22x = 244,413,167,963.50
  5. Step 5: Solve for x
    x = 244,413,167,963.50/222,322.22
  6. Step 6: Final answer
    x = 1,099,364.56

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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.