Finding the Third Proportional to 728 and 1,218
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Solution
The third proportional to 728 and 1,218 is: 2,037.81
Step by Step Solution
- Step 1: Write the proportion equation
728 : 1,218 = 1,218 : x - Step 2: Convert to fraction form
728/1,218 = 1,218/x - Step 3: Cross multiply
728x = 1,218 × 1,218 - Step 4: Simplify right side
728x = 1,483,524 - Step 5: Solve for x
x = 1,483,524/728 - Step 6: Final answer
x = 2,037.81
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.