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Finding the Third Proportional to 226,819 and 494,462

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Solution

The third proportional to 226,819 and 494,462 is: 1,077,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,819 : 494,462 = 494,462 : x
  2. Step 2: Convert to fraction form
    226,819/494,462 = 494,462/x
  3. Step 3: Cross multiply
    226,819x = 494,462 × 494,462
  4. Step 4: Simplify right side
    226,819x = 244,492,669,444
  5. Step 5: Solve for x
    x = 244,492,669,444/226,819
  6. Step 6: Final answer
    x = 1,077,919.70

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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.