Finding the Third Proportional to 227,576 and 496,624
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Solution
The third proportional to 227,576 and 496,624 is: 1,083,749.59
Step by Step Solution
- Step 1: Write the proportion equation
227,576 : 496,624 = 496,624 : x - Step 2: Convert to fraction form
227,576/496,624 = 496,624/x - Step 3: Cross multiply
227,576x = 496,624 × 496,624 - Step 4: Simplify right side
227,576x = 246,635,397,376 - Step 5: Solve for x
x = 246,635,397,376/227,576 - Step 6: Final answer
x = 1,083,749.59
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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.