Finding the Third Proportional to 231,376 and 503,792
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Solution
The third proportional to 231,376 and 503,792 is: 1,096,943.41
Step by Step Solution
- Step 1: Write the proportion equation
231,376 : 503,792 = 503,792 : x - Step 2: Convert to fraction form
231,376/503,792 = 503,792/x - Step 3: Cross multiply
231,376x = 503,792 × 503,792 - Step 4: Simplify right side
231,376x = 253,806,379,264 - Step 5: Solve for x
x = 253,806,379,264/231,376 - Step 6: Final answer
x = 1,096,943.41
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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.