Finding the Third Proportional to 231,838 and 494,300
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Solution
The third proportional to 231,838 and 494,300 is: 1,053,893.19
Step by Step Solution
- Step 1: Write the proportion equation
231,838 : 494,300 = 494,300 : x - Step 2: Convert to fraction form
231,838/494,300 = 494,300/x - Step 3: Cross multiply
231,838x = 494,300 × 494,300 - Step 4: Simplify right side
231,838x = 244,332,490,000 - Step 5: Solve for x
x = 244,332,490,000/231,838 - Step 6: Final answer
x = 1,053,893.19
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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.