Finding the Third Proportional to 584 and 743
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Solution
The third proportional to 584 and 743 is: 945.29
Step by Step Solution
- Step 1: Write the proportion equation
584 : 743 = 743 : x - Step 2: Convert to fraction form
584/743 = 743/x - Step 3: Cross multiply
584x = 743 × 743 - Step 4: Simplify right side
584x = 552,049 - Step 5: Solve for x
x = 552,049/584 - Step 6: Final answer
x = 945.29
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.