Finding the Third Proportional to 414 and 820
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Solution
The third proportional to 414 and 820 is: 1,624.15
Step by Step Solution
- Step 1: Write the proportion equation
414 : 820 = 820 : x - Step 2: Convert to fraction form
414/820 = 820/x - Step 3: Cross multiply
414x = 820 × 820 - Step 4: Simplify right side
414x = 672,400 - Step 5: Solve for x
x = 672,400/414 - Step 6: Final answer
x = 1,624.15
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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.