Finding the Third Proportional to 231,546 and 491,514
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Solution
The third proportional to 231,546 and 491,514 is: 1,043,360.77
Step by Step Solution
- Step 1: Write the proportion equation
231,546 : 491,514 = 491,514 : x - Step 2: Convert to fraction form
231,546/491,514 = 491,514/x - Step 3: Cross multiply
231,546x = 491,514 × 491,514 - Step 4: Simplify right side
231,546x = 241,586,012,196 - Step 5: Solve for x
x = 241,586,012,196/231,546 - Step 6: Final answer
x = 1,043,360.77
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.