Finding the Third Proportional to 722 and 1,085
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Solution
The third proportional to 722 and 1,085 is: 1,630.51
Step by Step Solution
- Step 1: Write the proportion equation
722 : 1,085 = 1,085 : x - Step 2: Convert to fraction form
722/1,085 = 1,085/x - Step 3: Cross multiply
722x = 1,085 × 1,085 - Step 4: Simplify right side
722x = 1,177,225 - Step 5: Solve for x
x = 1,177,225/722 - Step 6: Final answer
x = 1,630.51
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.