Finding the Third Proportional to 226,756 and 494,956
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Solution
The third proportional to 226,756 and 494,956 is: 1,080,374.68
Step by Step Solution
- Step 1: Write the proportion equation
226,756 : 494,956 = 494,956 : x - Step 2: Convert to fraction form
226,756/494,956 = 494,956/x - Step 3: Cross multiply
226,756x = 494,956 × 494,956 - Step 4: Simplify right side
226,756x = 244,981,441,936 - Step 5: Solve for x
x = 244,981,441,936/226,756 - Step 6: Final answer
x = 1,080,374.68
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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.