Finding the Third Proportional to 412 and 632
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Solution
The third proportional to 412 and 632 is: 969.48
Step by Step Solution
- Step 1: Write the proportion equation
412 : 632 = 632 : x - Step 2: Convert to fraction form
412/632 = 632/x - Step 3: Cross multiply
412x = 632 × 632 - Step 4: Simplify right side
412x = 399,424 - Step 5: Solve for x
x = 399,424/412 - Step 6: Final answer
x = 969.48
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.