Finding the Third Proportional to 284,115 and 612,510
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Solution
The third proportional to 284,115 and 612,510 is: 1,320,481.14
Step by Step Solution
- Step 1: Write the proportion equation
284,115 : 612,510 = 612,510 : x - Step 2: Convert to fraction form
284,115/612,510 = 612,510/x - Step 3: Cross multiply
284,115x = 612,510 × 612,510 - Step 4: Simplify right side
284,115x = 375,168,500,100 - Step 5: Solve for x
x = 375,168,500,100/284,115 - Step 6: Final answer
x = 1,320,481.14
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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.