Finding the Third Proportional to 396 and 504.75
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Solution
The third proportional to 396 and 504.75 is: 643.37
Step by Step Solution
- Step 1: Write the proportion equation
396 : 504.75 = 504.75 : x - Step 2: Convert to fraction form
396/504.75 = 504.75/x - Step 3: Cross multiply
396x = 504.75 × 504.75 - Step 4: Simplify right side
396x = 254,772.56 - Step 5: Solve for x
x = 254,772.56/396 - Step 6: Final answer
x = 643.37
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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.