Finding the Third Proportional to 408 and 908
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Solution
The third proportional to 408 and 908 is: 2,020.75
Step by Step Solution
- Step 1: Write the proportion equation
408 : 908 = 908 : x - Step 2: Convert to fraction form
408/908 = 908/x - Step 3: Cross multiply
408x = 908 × 908 - Step 4: Simplify right side
408x = 824,464 - Step 5: Solve for x
x = 824,464/408 - Step 6: Final answer
x = 2,020.75
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.