Finding the Third Proportional to 231,072 and 491,296
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Solution
The third proportional to 231,072 and 491,296 is: 1,044,573.81
Step by Step Solution
- Step 1: Write the proportion equation
231,072 : 491,296 = 491,296 : x - Step 2: Convert to fraction form
231,072/491,296 = 491,296/x - Step 3: Cross multiply
231,072x = 491,296 × 491,296 - Step 4: Simplify right side
231,072x = 241,371,759,616 - Step 5: Solve for x
x = 241,371,759,616/231,072 - Step 6: Final answer
x = 1,044,573.81
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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.