Finding the Third Proportional to 414 and 650
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Solution
The third proportional to 414 and 650 is: 1,020.53
Step by Step Solution
- Step 1: Write the proportion equation
414 : 650 = 650 : x - Step 2: Convert to fraction form
414/650 = 650/x - Step 3: Cross multiply
414x = 650 × 650 - Step 4: Simplify right side
414x = 422,500 - Step 5: Solve for x
x = 422,500/414 - Step 6: Final answer
x = 1,020.53
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.