Finding the Third Proportional to 283,898 and 394,743
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Solution
The third proportional to 283,898 and 394,743 is: 548,866.27
Step by Step Solution
- Step 1: Write the proportion equation
283,898 : 394,743 = 394,743 : x - Step 2: Convert to fraction form
283,898/394,743 = 394,743/x - Step 3: Cross multiply
283,898x = 394,743 × 394,743 - Step 4: Simplify right side
283,898x = 155,822,036,049 - Step 5: Solve for x
x = 155,822,036,049/283,898 - Step 6: Final answer
x = 548,866.27
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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.