Finding the Third Proportional to 321,480 and 687,249
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Solution
The third proportional to 321,480 and 687,249 is: 1,469,177.52
Step by Step Solution
- Step 1: Write the proportion equation
321,480 : 687,249 = 687,249 : x - Step 2: Convert to fraction form
321,480/687,249 = 687,249/x - Step 3: Cross multiply
321,480x = 687,249 × 687,249 - Step 4: Simplify right side
321,480x = 472,311,188,001 - Step 5: Solve for x
x = 472,311,188,001/321,480 - Step 6: Final answer
x = 1,469,177.52
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.