Finding the Third Proportional to 713 and 1,167
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Solution
The third proportional to 713 and 1,167 is: 1,910.08
Step by Step Solution
- Step 1: Write the proportion equation
713 : 1,167 = 1,167 : x - Step 2: Convert to fraction form
713/1,167 = 1,167/x - Step 3: Cross multiply
713x = 1,167 × 1,167 - Step 4: Simplify right side
713x = 1,361,889 - Step 5: Solve for x
x = 1,361,889/713 - Step 6: Final answer
x = 1,910.08
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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.