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Finding the Third Proportional to 226,821 and 494,466

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Solution

The third proportional to 226,821 and 494,466 is: 1,077,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,821 : 494,466 = 494,466 : x
  2. Step 2: Convert to fraction form
    226,821/494,466 = 494,466/x
  3. Step 3: Cross multiply
    226,821x = 494,466 × 494,466
  4. Step 4: Simplify right side
    226,821x = 244,496,625,156
  5. Step 5: Solve for x
    x = 244,496,625,156/226,821
  6. Step 6: Final answer
    x = 1,077,927.64

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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.