Finding the Third Proportional to 459 and 963
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Solution
The third proportional to 459 and 963 is: 2,020.41
Step by Step Solution
- Step 1: Write the proportion equation
459 : 963 = 963 : x - Step 2: Convert to fraction form
459/963 = 963/x - Step 3: Cross multiply
459x = 963 × 963 - Step 4: Simplify right side
459x = 927,369 - Step 5: Solve for x
x = 927,369/459 - Step 6: Final answer
x = 2,020.41
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.