Finding the Third Proportional to 406 and 596
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Solution
The third proportional to 406 and 596 is: 874.92
Step by Step Solution
- Step 1: Write the proportion equation
406 : 596 = 596 : x - Step 2: Convert to fraction form
406/596 = 596/x - Step 3: Cross multiply
406x = 596 × 596 - Step 4: Simplify right side
406x = 355,216 - Step 5: Solve for x
x = 355,216/406 - Step 6: Final answer
x = 874.92
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.