Finding the Third Proportional to 492,164 and 703,790
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Solution
The third proportional to 492,164 and 703,790 is: 1,006,413.24
Step by Step Solution
- Step 1: Write the proportion equation
492,164 : 703,790 = 703,790 : x - Step 2: Convert to fraction form
492,164/703,790 = 703,790/x - Step 3: Cross multiply
492,164x = 703,790 × 703,790 - Step 4: Simplify right side
492,164x = 495,320,364,100 - Step 5: Solve for x
x = 495,320,364,100/492,164 - Step 6: Final answer
x = 1,006,413.24
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.