Finding the Third Proportional to 314 and 795
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Solution
The third proportional to 314 and 795 is: 2,012.82
Step by Step Solution
- Step 1: Write the proportion equation
314 : 795 = 795 : x - Step 2: Convert to fraction form
314/795 = 795/x - Step 3: Cross multiply
314x = 795 × 795 - Step 4: Simplify right side
314x = 632,025 - Step 5: Solve for x
x = 632,025/314 - Step 6: Final answer
x = 2,012.82
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Why These Related Problems?
These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.