Finding the Third Proportional to 496 and 655
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Solution
The third proportional to 496 and 655 is: 864.97
Step by Step Solution
- Step 1: Write the proportion equation
496 : 655 = 655 : x - Step 2: Convert to fraction form
496/655 = 655/x - Step 3: Cross multiply
496x = 655 × 655 - Step 4: Simplify right side
496x = 429,025 - Step 5: Solve for x
x = 429,025/496 - Step 6: Final answer
x = 864.97
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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.