Finding the Third Proportional to 611 and 1,343
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Solution
The third proportional to 611 and 1,343 is: 2,951.96
Step by Step Solution
- Step 1: Write the proportion equation
611 : 1,343 = 1,343 : x - Step 2: Convert to fraction form
611/1,343 = 1,343/x - Step 3: Cross multiply
611x = 1,343 × 1,343 - Step 4: Simplify right side
611x = 1,803,649 - Step 5: Solve for x
x = 1,803,649/611 - Step 6: Final answer
x = 2,951.96
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.