Finding the Third Proportional to 300 and 727
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Solution
The third proportional to 300 and 727 is: 1,761.76
Step by Step Solution
- Step 1: Write the proportion equation
300 : 727 = 727 : x - Step 2: Convert to fraction form
300/727 = 727/x - Step 3: Cross multiply
300x = 727 × 727 - Step 4: Simplify right side
300x = 528,529 - Step 5: Solve for x
x = 528,529/300 - Step 6: Final answer
x = 1,761.76
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.