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Finding the Third Proportional to 227,899.13 and 488,910.38

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Solution

The third proportional to 227,899.13 and 488,910.38 is: 1,048,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,899.13 : 488,910.38 = 488,910.38 : x
  2. Step 2: Convert to fraction form
    227,899.13/488,910.38 = 488,910.38/x
  3. Step 3: Cross multiply
    227,899.13x = 488,910.38 × 488,910.38
  4. Step 4: Simplify right side
    227,899.13x = 239,033,354,782.64
  5. Step 5: Solve for x
    x = 239,033,354,782.64/227,899.13
  6. Step 6: Final answer
    x = 1,048,855.96

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Why These Related Problems?

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