Finding the Third Proportional to 736 and 1,464
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Solution
The third proportional to 736 and 1,464 is: 2,912.09
Step by Step Solution
- Step 1: Write the proportion equation
736 : 1,464 = 1,464 : x - Step 2: Convert to fraction form
736/1,464 = 1,464/x - Step 3: Cross multiply
736x = 1,464 × 1,464 - Step 4: Simplify right side
736x = 2,143,296 - Step 5: Solve for x
x = 2,143,296/736 - Step 6: Final answer
x = 2,912.09
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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.