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Finding the Third Proportional to 226,674 and 476,622

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Solution

The third proportional to 226,674 and 476,622 is: 1,002,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,674 : 476,622 = 476,622 : x
  2. Step 2: Convert to fraction form
    226,674/476,622 = 476,622/x
  3. Step 3: Cross multiply
    226,674x = 476,622 × 476,622
  4. Step 4: Simplify right side
    226,674x = 227,168,530,884
  5. Step 5: Solve for x
    x = 227,168,530,884/226,674
  6. Step 6: Final answer
    x = 1,002,181.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.