Finding the Third Proportional to 227,954 and 496,046
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Solution
The third proportional to 227,954 and 496,046 is: 1,079,435.47
Step by Step Solution
- Step 1: Write the proportion equation
227,954 : 496,046 = 496,046 : x - Step 2: Convert to fraction form
227,954/496,046 = 496,046/x - Step 3: Cross multiply
227,954x = 496,046 × 496,046 - Step 4: Simplify right side
227,954x = 246,061,634,116 - Step 5: Solve for x
x = 246,061,634,116/227,954 - Step 6: Final answer
x = 1,079,435.47
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.