Finding the Third Proportional to 412 and 839
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Solution
The third proportional to 412 and 839 is: 1,708.55
Step by Step Solution
- Step 1: Write the proportion equation
412 : 839 = 839 : x - Step 2: Convert to fraction form
412/839 = 839/x - Step 3: Cross multiply
412x = 839 × 839 - Step 4: Simplify right side
412x = 703,921 - Step 5: Solve for x
x = 703,921/412 - Step 6: Final answer
x = 1,708.55
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.