Finding the Third Proportional to 523 and 593
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Solution
The third proportional to 523 and 593 is: 672.37
Step by Step Solution
- Step 1: Write the proportion equation
523 : 593 = 593 : x - Step 2: Convert to fraction form
523/593 = 593/x - Step 3: Cross multiply
523x = 593 × 593 - Step 4: Simplify right side
523x = 351,649 - Step 5: Solve for x
x = 351,649/523 - Step 6: Final answer
x = 672.37
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Why These Related Problems?
These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.