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Finding the Third Proportional to 226,741.50 and 494,930.25

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Solution

The third proportional to 226,741.50 and 494,930.25 is: 1,080,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,741.50 : 494,930.25 = 494,930.25 : x
  2. Step 2: Convert to fraction form
    226,741.50/494,930.25 = 494,930.25/x
  3. Step 3: Cross multiply
    226,741.50x = 494,930.25 × 494,930.25
  4. Step 4: Simplify right side
    226,741.50x = 244,955,952,365.06
  5. Step 5: Solve for x
    x = 244,955,952,365.06/226,741.50
  6. Step 6: Final answer
    x = 1,080,331.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.