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Finding the Third Proportional to 226,774 and 494,993

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Solution

The third proportional to 226,774 and 494,993 is: 1,080,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,774 : 494,993 = 494,993 : x
  2. Step 2: Convert to fraction form
    226,774/494,993 = 494,993/x
  3. Step 3: Cross multiply
    226,774x = 494,993 × 494,993
  4. Step 4: Simplify right side
    226,774x = 245,018,070,049
  5. Step 5: Solve for x
    x = 245,018,070,049/226,774
  6. Step 6: Final answer
    x = 1,080,450.45

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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.