Finding the Third Proportional to 593 and 643
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Solution
The third proportional to 593 and 643 is: 697.22
Step by Step Solution
- Step 1: Write the proportion equation
593 : 643 = 643 : x - Step 2: Convert to fraction form
593/643 = 643/x - Step 3: Cross multiply
593x = 643 × 643 - Step 4: Simplify right side
593x = 413,449 - Step 5: Solve for x
x = 413,449/593 - Step 6: Final answer
x = 697.22
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.