Finding the Third Proportional to 227,936 and 496,000
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Solution
The third proportional to 227,936 and 496,000 is: 1,079,320.51
Step by Step Solution
- Step 1: Write the proportion equation
227,936 : 496,000 = 496,000 : x - Step 2: Convert to fraction form
227,936/496,000 = 496,000/x - Step 3: Cross multiply
227,936x = 496,000 × 496,000 - Step 4: Simplify right side
227,936x = 246,016,000,000 - Step 5: Solve for x
x = 246,016,000,000/227,936 - Step 6: Final answer
x = 1,079,320.51
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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.