Finding the Third Proportional to 218,396 and 463,036
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Solution
The third proportional to 218,396 and 463,036 is: 981,713.66
Step by Step Solution
- Step 1: Write the proportion equation
218,396 : 463,036 = 463,036 : x - Step 2: Convert to fraction form
218,396/463,036 = 463,036/x - Step 3: Cross multiply
218,396x = 463,036 × 463,036 - Step 4: Simplify right side
218,396x = 214,402,337,296 - Step 5: Solve for x
x = 214,402,337,296/218,396 - Step 6: Final answer
x = 981,713.66
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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.