Finding the Third Proportional to 574 and 1,162
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Solution
The third proportional to 574 and 1,162 is: 2,352.34
Step by Step Solution
- Step 1: Write the proportion equation
574 : 1,162 = 1,162 : x - Step 2: Convert to fraction form
574/1,162 = 1,162/x - Step 3: Cross multiply
574x = 1,162 × 1,162 - Step 4: Simplify right side
574x = 1,350,244 - Step 5: Solve for x
x = 1,350,244/574 - Step 6: Final answer
x = 2,352.34
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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.