Finding the Third Proportional to 683 and 831
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Solution
The third proportional to 683 and 831 is: 1,011.07
Step by Step Solution
- Step 1: Write the proportion equation
683 : 831 = 831 : x - Step 2: Convert to fraction form
683/831 = 831/x - Step 3: Cross multiply
683x = 831 × 831 - Step 4: Simplify right side
683x = 690,561 - Step 5: Solve for x
x = 690,561/683 - Step 6: Final answer
x = 1,011.07
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Why These Related Problems?
These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.