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Finding the Third Proportional to 226,892 and 477,004

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Solution

The third proportional to 226,892 and 477,004 is: 1,002,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,892 : 477,004 = 477,004 : x
  2. Step 2: Convert to fraction form
    226,892/477,004 = 477,004/x
  3. Step 3: Cross multiply
    226,892x = 477,004 × 477,004
  4. Step 4: Simplify right side
    226,892x = 227,532,816,016
  5. Step 5: Solve for x
    x = 227,532,816,016/226,892
  6. Step 6: Final answer
    x = 1,002,824.32

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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.