Finding the Third Proportional to 231,138 and 496,764
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Solution
The third proportional to 231,138 and 496,764 is: 1,067,649.94
Step by Step Solution
- Step 1: Write the proportion equation
231,138 : 496,764 = 496,764 : x - Step 2: Convert to fraction form
231,138/496,764 = 496,764/x - Step 3: Cross multiply
231,138x = 496,764 × 496,764 - Step 4: Simplify right side
231,138x = 246,774,471,696 - Step 5: Solve for x
x = 246,774,471,696/231,138 - Step 6: Final answer
x = 1,067,649.94
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.