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Finding the Third Proportional to 226,838 and 476,894

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Solution

The third proportional to 226,838 and 476,894 is: 1,002,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,838 : 476,894 = 476,894 : x
  2. Step 2: Convert to fraction form
    226,838/476,894 = 476,894/x
  3. Step 3: Cross multiply
    226,838x = 476,894 × 476,894
  4. Step 4: Simplify right side
    226,838x = 227,427,887,236
  5. Step 5: Solve for x
    x = 227,427,887,236/226,838
  6. Step 6: Final answer
    x = 1,002,600.48

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