Finding the Third Proportional to 231,984 and 494,334
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Solution
The third proportional to 231,984 and 494,334 is: 1,053,374.82
Step by Step Solution
- Step 1: Write the proportion equation
231,984 : 494,334 = 494,334 : x - Step 2: Convert to fraction form
231,984/494,334 = 494,334/x - Step 3: Cross multiply
231,984x = 494,334 × 494,334 - Step 4: Simplify right side
231,984x = 244,366,103,556 - Step 5: Solve for x
x = 244,366,103,556/231,984 - Step 6: Final answer
x = 1,053,374.82
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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.