Finding the Third Proportional to 289 and 471
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Solution
The third proportional to 289 and 471 is: 767.62
Step by Step Solution
- Step 1: Write the proportion equation
289 : 471 = 471 : x - Step 2: Convert to fraction form
289/471 = 471/x - Step 3: Cross multiply
289x = 471 × 471 - Step 4: Simplify right side
289x = 221,841 - Step 5: Solve for x
x = 221,841/289 - Step 6: Final answer
x = 767.62
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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.