Finding the Third Proportional to 742 and 1,081
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Solution
The third proportional to 742 and 1,081 is: 1,574.88
Step by Step Solution
- Step 1: Write the proportion equation
742 : 1,081 = 1,081 : x - Step 2: Convert to fraction form
742/1,081 = 1,081/x - Step 3: Cross multiply
742x = 1,081 × 1,081 - Step 4: Simplify right side
742x = 1,168,561 - Step 5: Solve for x
x = 1,168,561/742 - Step 6: Final answer
x = 1,574.88
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.