Finding the Third Proportional to 323,397 and 680,304
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Solution
The third proportional to 323,397 and 680,304 is: 1,431,100.27
Step by Step Solution
- Step 1: Write the proportion equation
323,397 : 680,304 = 680,304 : x - Step 2: Convert to fraction form
323,397/680,304 = 680,304/x - Step 3: Cross multiply
323,397x = 680,304 × 680,304 - Step 4: Simplify right side
323,397x = 462,813,532,416 - Step 5: Solve for x
x = 462,813,532,416/323,397 - Step 6: Final answer
x = 1,431,100.27
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.