Finding the Third Proportional to 215,424 and 471,888
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Solution
The third proportional to 215,424 and 471,888 is: 1,033,674.45
Step by Step Solution
- Step 1: Write the proportion equation
215,424 : 471,888 = 471,888 : x - Step 2: Convert to fraction form
215,424/471,888 = 471,888/x - Step 3: Cross multiply
215,424x = 471,888 × 471,888 - Step 4: Simplify right side
215,424x = 222,678,284,544 - Step 5: Solve for x
x = 222,678,284,544/215,424 - Step 6: Final answer
x = 1,033,674.45
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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.