Finding the Third Proportional to 284,647 and 616,046
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Solution
The third proportional to 284,647 and 616,046 is: 1,333,274.81
Step by Step Solution
- Step 1: Write the proportion equation
284,647 : 616,046 = 616,046 : x - Step 2: Convert to fraction form
284,647/616,046 = 616,046/x - Step 3: Cross multiply
284,647x = 616,046 × 616,046 - Step 4: Simplify right side
284,647x = 379,512,674,116 - Step 5: Solve for x
x = 379,512,674,116/284,647 - Step 6: Final answer
x = 1,333,274.81
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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.