Finding the Third Proportional to 467 and 567
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Solution
The third proportional to 467 and 567 is: 688.41
Step by Step Solution
- Step 1: Write the proportion equation
467 : 567 = 567 : x - Step 2: Convert to fraction form
467/567 = 567/x - Step 3: Cross multiply
467x = 567 × 567 - Step 4: Simplify right side
467x = 321,489 - Step 5: Solve for x
x = 321,489/467 - Step 6: Final answer
x = 688.41
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Why These Related Problems?
These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.