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Finding the Third Proportional to 226,820 and 494,464

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Solution

The third proportional to 226,820 and 494,464 is: 1,077,923.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,820 : 494,464 = 494,464 : x
  2. Step 2: Convert to fraction form
    226,820/494,464 = 494,464/x
  3. Step 3: Cross multiply
    226,820x = 494,464 × 494,464
  4. Step 4: Simplify right side
    226,820x = 244,494,647,296
  5. Step 5: Solve for x
    x = 244,494,647,296/226,820
  6. Step 6: Final answer
    x = 1,077,923.67

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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.