Finding the Third Proportional to 823 and 1,464
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Solution
The third proportional to 823 and 1,464 is: 2,604.25
Step by Step Solution
- Step 1: Write the proportion equation
823 : 1,464 = 1,464 : x - Step 2: Convert to fraction form
823/1,464 = 1,464/x - Step 3: Cross multiply
823x = 1,464 × 1,464 - Step 4: Simplify right side
823x = 2,143,296 - Step 5: Solve for x
x = 2,143,296/823 - Step 6: Final answer
x = 2,604.25
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Why These Related Problems?
These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.