Finding the Third Proportional to 231,948 and 494,272
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Solution
The third proportional to 231,948 and 494,272 is: 1,053,274.05
Step by Step Solution
- Step 1: Write the proportion equation
231,948 : 494,272 = 494,272 : x - Step 2: Convert to fraction form
231,948/494,272 = 494,272/x - Step 3: Cross multiply
231,948x = 494,272 × 494,272 - Step 4: Simplify right side
231,948x = 244,304,809,984 - Step 5: Solve for x
x = 244,304,809,984/231,948 - Step 6: Final answer
x = 1,053,274.05
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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.