Finding the Third Proportional to 252,998 and 543,517
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Solution
The third proportional to 252,998 and 543,517 is: 1,167,640.57
Step by Step Solution
- Step 1: Write the proportion equation
252,998 : 543,517 = 543,517 : x - Step 2: Convert to fraction form
252,998/543,517 = 543,517/x - Step 3: Cross multiply
252,998x = 543,517 × 543,517 - Step 4: Simplify right side
252,998x = 295,410,729,289 - Step 5: Solve for x
x = 295,410,729,289/252,998 - Step 6: Final answer
x = 1,167,640.57
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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.