Finding the Third Proportional to 299,832 and 642,168
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Solution
The third proportional to 299,832 and 642,168 is: 1,375,369.34
Step by Step Solution
- Step 1: Write the proportion equation
299,832 : 642,168 = 642,168 : x - Step 2: Convert to fraction form
299,832/642,168 = 642,168/x - Step 3: Cross multiply
299,832x = 642,168 × 642,168 - Step 4: Simplify right side
299,832x = 412,379,740,224 - Step 5: Solve for x
x = 412,379,740,224/299,832 - Step 6: Final answer
x = 1,375,369.34
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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.