Finding the Third Proportional to 231,842 and 494,302
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Solution
The third proportional to 231,842 and 494,302 is: 1,053,883.54
Step by Step Solution
- Step 1: Write the proportion equation
231,842 : 494,302 = 494,302 : x - Step 2: Convert to fraction form
231,842/494,302 = 494,302/x - Step 3: Cross multiply
231,842x = 494,302 × 494,302 - Step 4: Simplify right side
231,842x = 244,334,467,204 - Step 5: Solve for x
x = 244,334,467,204/231,842 - Step 6: Final answer
x = 1,053,883.54
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.