Finding the Third Proportional to 215,744 and 472,960
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Solution
The third proportional to 215,744 and 472,960 is: 1,036,836.07
Step by Step Solution
- Step 1: Write the proportion equation
215,744 : 472,960 = 472,960 : x - Step 2: Convert to fraction form
215,744/472,960 = 472,960/x - Step 3: Cross multiply
215,744x = 472,960 × 472,960 - Step 4: Simplify right side
215,744x = 223,691,161,600 - Step 5: Solve for x
x = 223,691,161,600/215,744 - Step 6: Final answer
x = 1,036,836.07
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.