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Finding the Third Proportional to 226,660 and 488,456

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Solution

The third proportional to 226,660 and 488,456 is: 1,052,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,660 : 488,456 = 488,456 : x
  2. Step 2: Convert to fraction form
    226,660/488,456 = 488,456/x
  3. Step 3: Cross multiply
    226,660x = 488,456 × 488,456
  4. Step 4: Simplify right side
    226,660x = 238,589,263,936
  5. Step 5: Solve for x
    x = 238,589,263,936/226,660
  6. Step 6: Final answer
    x = 1,052,630.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.