Finding the Third Proportional to 384 and 504
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Solution
The third proportional to 384 and 504 is: 661.50
Step by Step Solution
- Step 1: Write the proportion equation
384 : 504 = 504 : x - Step 2: Convert to fraction form
384/504 = 504/x - Step 3: Cross multiply
384x = 504 × 504 - Step 4: Simplify right side
384x = 254,016 - Step 5: Solve for x
x = 254,016/384 - Step 6: Final answer
x = 661.50
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.