Finding the Third Proportional to 225,932 and 491,212
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Solution
The third proportional to 225,932 and 491,212 is: 1,067,972.79
Step by Step Solution
- Step 1: Write the proportion equation
225,932 : 491,212 = 491,212 : x - Step 2: Convert to fraction form
225,932/491,212 = 491,212/x - Step 3: Cross multiply
225,932x = 491,212 × 491,212 - Step 4: Simplify right side
225,932x = 241,289,228,944 - Step 5: Solve for x
x = 241,289,228,944/225,932 - Step 6: Final answer
x = 1,067,972.79
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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.