Finding the Third Proportional to 496 and 768
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Solution
The third proportional to 496 and 768 is: 1,189.16
Step by Step Solution
- Step 1: Write the proportion equation
496 : 768 = 768 : x - Step 2: Convert to fraction form
496/768 = 768/x - Step 3: Cross multiply
496x = 768 × 768 - Step 4: Simplify right side
496x = 589,824 - Step 5: Solve for x
x = 589,824/496 - Step 6: Final answer
x = 1,189.16
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.