Finding the Third Proportional to 217,728 and 482,112
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Solution
The third proportional to 217,728 and 482,112 is: 1,067,533.71
Step by Step Solution
- Step 1: Write the proportion equation
217,728 : 482,112 = 482,112 : x - Step 2: Convert to fraction form
217,728/482,112 = 482,112/x - Step 3: Cross multiply
217,728x = 482,112 × 482,112 - Step 4: Simplify right side
217,728x = 232,431,980,544 - Step 5: Solve for x
x = 232,431,980,544/217,728 - Step 6: Final answer
x = 1,067,533.71
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.