Finding the Third Proportional to 311,520 and 654,144
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Solution
The third proportional to 311,520 and 654,144 is: 1,373,601.61
Step by Step Solution
- Step 1: Write the proportion equation
311,520 : 654,144 = 654,144 : x - Step 2: Convert to fraction form
311,520/654,144 = 654,144/x - Step 3: Cross multiply
311,520x = 654,144 × 654,144 - Step 4: Simplify right side
311,520x = 427,904,372,736 - Step 5: Solve for x
x = 427,904,372,736/311,520 - Step 6: Final answer
x = 1,373,601.61
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.