Finding the Third Proportional to 218,370 and 477,474
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Solution
The third proportional to 218,370 and 477,474 is: 1,044,014.38
Step by Step Solution
- Step 1: Write the proportion equation
218,370 : 477,474 = 477,474 : x - Step 2: Convert to fraction form
218,370/477,474 = 477,474/x - Step 3: Cross multiply
218,370x = 477,474 × 477,474 - Step 4: Simplify right side
218,370x = 227,981,420,676 - Step 5: Solve for x
x = 227,981,420,676/218,370 - Step 6: Final answer
x = 1,044,014.38
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.