Finding the Third Proportional to 429 and 814
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Solution
The third proportional to 429 and 814 is: 1,544.51
Step by Step Solution
- Step 1: Write the proportion equation
429 : 814 = 814 : x - Step 2: Convert to fraction form
429/814 = 814/x - Step 3: Cross multiply
429x = 814 × 814 - Step 4: Simplify right side
429x = 662,596 - Step 5: Solve for x
x = 662,596/429 - Step 6: Final answer
x = 1,544.51
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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.