Finding the Third Proportional to 509,864 and 809,792
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Solution
The third proportional to 509,864 and 809,792 is: 1,286,152.94
Step by Step Solution
- Step 1: Write the proportion equation
509,864 : 809,792 = 809,792 : x - Step 2: Convert to fraction form
509,864/809,792 = 809,792/x - Step 3: Cross multiply
509,864x = 809,792 × 809,792 - Step 4: Simplify right side
509,864x = 655,763,083,264 - Step 5: Solve for x
x = 655,763,083,264/509,864 - Step 6: Final answer
x = 1,286,152.94
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.