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Finding the Third Proportional to 226,686 and 494,072

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Solution

The third proportional to 226,686 and 494,072 is: 1,076,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,686 : 494,072 = 494,072 : x
  2. Step 2: Convert to fraction form
    226,686/494,072 = 494,072/x
  3. Step 3: Cross multiply
    226,686x = 494,072 × 494,072
  4. Step 4: Simplify right side
    226,686x = 244,107,141,184
  5. Step 5: Solve for x
    x = 244,107,141,184/226,686
  6. Step 6: Final answer
    x = 1,076,851.42

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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.