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Finding the Third Proportional to 226,874.25 and 476,968.50

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Solution

The third proportional to 226,874.25 and 476,968.50 is: 1,002,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,874.25 : 476,968.50 = 476,968.50 : x
  2. Step 2: Convert to fraction form
    226,874.25/476,968.50 = 476,968.50/x
  3. Step 3: Cross multiply
    226,874.25x = 476,968.50 × 476,968.50
  4. Step 4: Simplify right side
    226,874.25x = 227,498,949,992.25
  5. Step 5: Solve for x
    x = 227,498,949,992.25/226,874.25
  6. Step 6: Final answer
    x = 1,002,753.51

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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.