Finding the Third Proportional to 380 and 584
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Solution
The third proportional to 380 and 584 is: 897.52
Step by Step Solution
- Step 1: Write the proportion equation
380 : 584 = 584 : x - Step 2: Convert to fraction form
380/584 = 584/x - Step 3: Cross multiply
380x = 584 × 584 - Step 4: Simplify right side
380x = 341,056 - Step 5: Solve for x
x = 341,056/380 - Step 6: Final answer
x = 897.52
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.