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Finding the Third Proportional to 227,910 and 488,934

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Solution

The third proportional to 227,910 and 488,934 is: 1,048,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,910 : 488,934 = 488,934 : x
  2. Step 2: Convert to fraction form
    227,910/488,934 = 488,934/x
  3. Step 3: Cross multiply
    227,910x = 488,934 × 488,934
  4. Step 4: Simplify right side
    227,910x = 239,056,456,356
  5. Step 5: Solve for x
    x = 239,056,456,356/227,910
  6. Step 6: Final answer
    x = 1,048,907.27

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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.