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Finding the Third Proportional to 226,887 and 476,994

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Solution

The third proportional to 226,887 and 476,994 is: 1,002,804.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,887 : 476,994 = 476,994 : x
  2. Step 2: Convert to fraction form
    226,887/476,994 = 476,994/x
  3. Step 3: Cross multiply
    226,887x = 476,994 × 476,994
  4. Step 4: Simplify right side
    226,887x = 227,523,276,036
  5. Step 5: Solve for x
    x = 227,523,276,036/226,887
  6. Step 6: Final answer
    x = 1,002,804.37

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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.