Finding the Third Proportional to 726 and 1,341
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Solution
The third proportional to 726 and 1,341 is: 2,476.97
Step by Step Solution
- Step 1: Write the proportion equation
726 : 1,341 = 1,341 : x - Step 2: Convert to fraction form
726/1,341 = 1,341/x - Step 3: Cross multiply
726x = 1,341 × 1,341 - Step 4: Simplify right side
726x = 1,798,281 - Step 5: Solve for x
x = 1,798,281/726 - Step 6: Final answer
x = 2,476.97
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Why These Related Problems?
These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.