Finding the Third Proportional to 271,980 and 382,329
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Solution
The third proportional to 271,980 and 382,329 is: 537,449.31
Step by Step Solution
- Step 1: Write the proportion equation
271,980 : 382,329 = 382,329 : x - Step 2: Convert to fraction form
271,980/382,329 = 382,329/x - Step 3: Cross multiply
271,980x = 382,329 × 382,329 - Step 4: Simplify right side
271,980x = 146,175,464,241 - Step 5: Solve for x
x = 146,175,464,241/271,980 - Step 6: Final answer
x = 537,449.31
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.