Finding the Third Proportional to 384 and 421
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Solution
The third proportional to 384 and 421 is: 461.57
Step by Step Solution
- Step 1: Write the proportion equation
384 : 421 = 421 : x - Step 2: Convert to fraction form
384/421 = 421/x - Step 3: Cross multiply
384x = 421 × 421 - Step 4: Simplify right side
384x = 177,241 - Step 5: Solve for x
x = 177,241/384 - Step 6: Final answer
x = 461.57
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.