Finding the Third Proportional to 231,524 and 491,470
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Solution
The third proportional to 231,524 and 491,470 is: 1,043,273.10
Step by Step Solution
- Step 1: Write the proportion equation
231,524 : 491,470 = 491,470 : x - Step 2: Convert to fraction form
231,524/491,470 = 491,470/x - Step 3: Cross multiply
231,524x = 491,470 × 491,470 - Step 4: Simplify right side
231,524x = 241,542,760,900 - Step 5: Solve for x
x = 241,542,760,900/231,524 - Step 6: Final answer
x = 1,043,273.10
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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.