Finding the Third Proportional to 314 and 470
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Solution
The third proportional to 314 and 470 is: 703.50
Step by Step Solution
- Step 1: Write the proportion equation
314 : 470 = 470 : x - Step 2: Convert to fraction form
314/470 = 470/x - Step 3: Cross multiply
314x = 470 × 470 - Step 4: Simplify right side
314x = 220,900 - Step 5: Solve for x
x = 220,900/314 - Step 6: Final answer
x = 703.50
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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.