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Finding the Third Proportional to 227,873.25 and 491,072.63

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Solution

The third proportional to 227,873.25 and 491,072.63 is: 1,058,273.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,873.25 : 491,072.63 = 491,072.63 : x
  2. Step 2: Convert to fraction form
    227,873.25/491,072.63 = 491,072.63/x
  3. Step 3: Cross multiply
    227,873.25x = 491,072.63 × 491,072.63
  4. Step 4: Simplify right side
    227,873.25x = 241,152,323,024.39
  5. Step 5: Solve for x
    x = 241,152,323,024.39/227,873.25
  6. Step 6: Final answer
    x = 1,058,273.94

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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.