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Finding the Third Proportional to 226,828 and 488,320

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Solution

The third proportional to 226,828 and 488,320 is: 1,051,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,828 : 488,320 = 488,320 : x
  2. Step 2: Convert to fraction form
    226,828/488,320 = 488,320/x
  3. Step 3: Cross multiply
    226,828x = 488,320 × 488,320
  4. Step 4: Simplify right side
    226,828x = 238,456,422,400
  5. Step 5: Solve for x
    x = 238,456,422,400/226,828
  6. Step 6: Final answer
    x = 1,051,265.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.