Finding the Third Proportional to 226,746 and 494,318
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Solution
The third proportional to 226,746 and 494,318 is: 1,077,638.79
Step by Step Solution
- Step 1: Write the proportion equation
226,746 : 494,318 = 494,318 : x - Step 2: Convert to fraction form
226,746/494,318 = 494,318/x - Step 3: Cross multiply
226,746x = 494,318 × 494,318 - Step 4: Simplify right side
226,746x = 244,350,285,124 - Step 5: Solve for x
x = 244,350,285,124/226,746 - Step 6: Final answer
x = 1,077,638.79
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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.