Finding the Third Proportional to 566 and 851
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Solution
The third proportional to 566 and 851 is: 1,279.51
Step by Step Solution
- Step 1: Write the proportion equation
566 : 851 = 851 : x - Step 2: Convert to fraction form
566/851 = 851/x - Step 3: Cross multiply
566x = 851 × 851 - Step 4: Simplify right side
566x = 724,201 - Step 5: Solve for x
x = 724,201/566 - Step 6: Final answer
x = 1,279.51
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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.