Finding the Third Proportional to 384 and 436.50
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Solution
The third proportional to 384 and 436.50 is: 496.18
Step by Step Solution
- Step 1: Write the proportion equation
384 : 436.50 = 436.50 : x - Step 2: Convert to fraction form
384/436.50 = 436.50/x - Step 3: Cross multiply
384x = 436.50 × 436.50 - Step 4: Simplify right side
384x = 190,532.25 - Step 5: Solve for x
x = 190,532.25/384 - Step 6: Final answer
x = 496.18
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.