Finding the Third Proportional to 218,524 and 472,040
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Solution
The third proportional to 218,524 and 472,040 is: 1,019,667.23
Step by Step Solution
- Step 1: Write the proportion equation
218,524 : 472,040 = 472,040 : x - Step 2: Convert to fraction form
218,524/472,040 = 472,040/x - Step 3: Cross multiply
218,524x = 472,040 × 472,040 - Step 4: Simplify right side
218,524x = 222,821,761,600 - Step 5: Solve for x
x = 222,821,761,600/218,524 - Step 6: Final answer
x = 1,019,667.23
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.