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Finding the Third Proportional to 226,729.97 and 494,906.63

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Solution

The third proportional to 226,729.97 and 494,906.63 is: 1,080,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,729.97 : 494,906.63 = 494,906.63 : x
  2. Step 2: Convert to fraction form
    226,729.97/494,906.63 = 494,906.63/x
  3. Step 3: Cross multiply
    226,729.97x = 494,906.63 × 494,906.63
  4. Step 4: Simplify right side
    226,729.97x = 244,932,567,468.89
  5. Step 5: Solve for x
    x = 244,932,567,468.89/226,729.97
  6. Step 6: Final answer
    x = 1,080,283.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.