Finding the Third Proportional to 381,032 and 829,792
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Solution
The third proportional to 381,032 and 829,792 is: 1,807,078.57
Step by Step Solution
- Step 1: Write the proportion equation
381,032 : 829,792 = 829,792 : x - Step 2: Convert to fraction form
381,032/829,792 = 829,792/x - Step 3: Cross multiply
381,032x = 829,792 × 829,792 - Step 4: Simplify right side
381,032x = 688,554,763,264 - Step 5: Solve for x
x = 688,554,763,264/381,032 - Step 6: Final answer
x = 1,807,078.57
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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.