Finding the Third Proportional to 465 and 523
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Solution
The third proportional to 465 and 523 is: 588.23
Step by Step Solution
- Step 1: Write the proportion equation
465 : 523 = 523 : x - Step 2: Convert to fraction form
465/523 = 523/x - Step 3: Cross multiply
465x = 523 × 523 - Step 4: Simplify right side
465x = 273,529 - Step 5: Solve for x
x = 273,529/465 - Step 6: Final answer
x = 588.23
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.