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Finding the Third Proportional to 222,345 and 494,427.16

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Solution

The third proportional to 222,345 and 494,427.16 is: 1,099,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,345 : 494,427.16 = 494,427.16 : x
  2. Step 2: Convert to fraction form
    222,345/494,427.16 = 494,427.16/x
  3. Step 3: Cross multiply
    222,345x = 494,427.16 × 494,427.16
  4. Step 4: Simplify right side
    222,345x = 244,458,220,562.89
  5. Step 5: Solve for x
    x = 244,458,220,562.89/222,345
  6. Step 6: Final answer
    x = 1,099,454.54

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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.