Finding the Third Proportional to 327 and 706
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Solution
The third proportional to 327 and 706 is: 1,524.27
Step by Step Solution
- Step 1: Write the proportion equation
327 : 706 = 706 : x - Step 2: Convert to fraction form
327/706 = 706/x - Step 3: Cross multiply
327x = 706 × 706 - Step 4: Simplify right side
327x = 498,436 - Step 5: Solve for x
x = 498,436/327 - Step 6: Final answer
x = 1,524.27
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.