Finding the Third Proportional to 226,204 and 491,384
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Solution
The third proportional to 226,204 and 491,384 is: 1,067,435.75
Step by Step Solution
- Step 1: Write the proportion equation
226,204 : 491,384 = 491,384 : x - Step 2: Convert to fraction form
226,204/491,384 = 491,384/x - Step 3: Cross multiply
226,204x = 491,384 × 491,384 - Step 4: Simplify right side
226,204x = 241,458,235,456 - Step 5: Solve for x
x = 241,458,235,456/226,204 - Step 6: Final answer
x = 1,067,435.75
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.