Finding the Third Proportional to 218,512 and 472,016
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Solution
The third proportional to 218,512 and 472,016 is: 1,019,619.54
Step by Step Solution
- Step 1: Write the proportion equation
218,512 : 472,016 = 472,016 : x - Step 2: Convert to fraction form
218,512/472,016 = 472,016/x - Step 3: Cross multiply
218,512x = 472,016 × 472,016 - Step 4: Simplify right side
218,512x = 222,799,104,256 - Step 5: Solve for x
x = 222,799,104,256/218,512 - Step 6: Final answer
x = 1,019,619.54
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.