Finding the Third Proportional to 227,528 and 496,464
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Solution
The third proportional to 227,528 and 496,464 is: 1,083,279.87
Step by Step Solution
- Step 1: Write the proportion equation
227,528 : 496,464 = 496,464 : x - Step 2: Convert to fraction form
227,528/496,464 = 496,464/x - Step 3: Cross multiply
227,528x = 496,464 × 496,464 - Step 4: Simplify right side
227,528x = 246,476,503,296 - Step 5: Solve for x
x = 246,476,503,296/227,528 - Step 6: Final answer
x = 1,083,279.87
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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.