Finding the Third Proportional to 688 and 965
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Solution
The third proportional to 688 and 965 is: 1,353.52
Step by Step Solution
- Step 1: Write the proportion equation
688 : 965 = 965 : x - Step 2: Convert to fraction form
688/965 = 965/x - Step 3: Cross multiply
688x = 965 × 965 - Step 4: Simplify right side
688x = 931,225 - Step 5: Solve for x
x = 931,225/688 - Step 6: Final answer
x = 1,353.52
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.