Finding the Third Proportional to 663 and 1,071
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Solution
The third proportional to 663 and 1,071 is: 1,730.08
Step by Step Solution
- Step 1: Write the proportion equation
663 : 1,071 = 1,071 : x - Step 2: Convert to fraction form
663/1,071 = 1,071/x - Step 3: Cross multiply
663x = 1,071 × 1,071 - Step 4: Simplify right side
663x = 1,147,041 - Step 5: Solve for x
x = 1,147,041/663 - Step 6: Final answer
x = 1,730.08
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Why These Related Problems?
These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.