Finding the Third Proportional to 219,228 and 471,728
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Solution
The third proportional to 219,228 and 471,728 is: 1,015,049.66
Step by Step Solution
- Step 1: Write the proportion equation
219,228 : 471,728 = 471,728 : x - Step 2: Convert to fraction form
219,228/471,728 = 471,728/x - Step 3: Cross multiply
219,228x = 471,728 × 471,728 - Step 4: Simplify right side
219,228x = 222,527,305,984 - Step 5: Solve for x
x = 222,527,305,984/219,228 - Step 6: Final answer
x = 1,015,049.66
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.