Finding the Third Proportional to 467 and 1,196
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Solution
The third proportional to 467 and 1,196 is: 3,062.99
Step by Step Solution
- Step 1: Write the proportion equation
467 : 1,196 = 1,196 : x - Step 2: Convert to fraction form
467/1,196 = 1,196/x - Step 3: Cross multiply
467x = 1,196 × 1,196 - Step 4: Simplify right side
467x = 1,430,416 - Step 5: Solve for x
x = 1,430,416/467 - Step 6: Final answer
x = 3,062.99
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These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.