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Finding the Third Proportional to 226,722 and 494,890

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Solution

The third proportional to 226,722 and 494,890 is: 1,080,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,722 : 494,890 = 494,890 : x
  2. Step 2: Convert to fraction form
    226,722/494,890 = 494,890/x
  3. Step 3: Cross multiply
    226,722x = 494,890 × 494,890
  4. Step 4: Simplify right side
    226,722x = 244,916,112,100
  5. Step 5: Solve for x
    x = 244,916,112,100/226,722
  6. Step 6: Final answer
    x = 1,080,248.55

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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.