Finding the Third Proportional to 231,840 and 494,298
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Solution
The third proportional to 231,840 and 494,298 is: 1,053,875.57
Step by Step Solution
- Step 1: Write the proportion equation
231,840 : 494,298 = 494,298 : x - Step 2: Convert to fraction form
231,840/494,298 = 494,298/x - Step 3: Cross multiply
231,840x = 494,298 × 494,298 - Step 4: Simplify right side
231,840x = 244,330,512,804 - Step 5: Solve for x
x = 244,330,512,804/231,840 - Step 6: Final answer
x = 1,053,875.57
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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.