Finding the Third Proportional to 227,532 and 496,472
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Solution
The third proportional to 227,532 and 496,472 is: 1,083,295.74
Step by Step Solution
- Step 1: Write the proportion equation
227,532 : 496,472 = 496,472 : x - Step 2: Convert to fraction form
227,532/496,472 = 496,472/x - Step 3: Cross multiply
227,532x = 496,472 × 496,472 - Step 4: Simplify right side
227,532x = 246,484,446,784 - Step 5: Solve for x
x = 246,484,446,784/227,532 - Step 6: Final answer
x = 1,083,295.74
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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.