Finding the Third Proportional to 408 and 793
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Solution
The third proportional to 408 and 793 is: 1,541.30
Step by Step Solution
- Step 1: Write the proportion equation
408 : 793 = 793 : x - Step 2: Convert to fraction form
408/793 = 793/x - Step 3: Cross multiply
408x = 793 × 793 - Step 4: Simplify right side
408x = 628,849 - Step 5: Solve for x
x = 628,849/408 - Step 6: Final answer
x = 1,541.30
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Why These Related Problems?
These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.