Finding the Third Proportional to 231,982 and 494,330
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Solution
The third proportional to 231,982 and 494,330 is: 1,053,366.85
Step by Step Solution
- Step 1: Write the proportion equation
231,982 : 494,330 = 494,330 : x - Step 2: Convert to fraction form
231,982/494,330 = 494,330/x - Step 3: Cross multiply
231,982x = 494,330 × 494,330 - Step 4: Simplify right side
231,982x = 244,362,148,900 - Step 5: Solve for x
x = 244,362,148,900/231,982 - Step 6: Final answer
x = 1,053,366.85
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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.