Finding the Third Proportional to 284,645 and 616,042
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Solution
The third proportional to 284,645 and 616,042 is: 1,333,266.86
Step by Step Solution
- Step 1: Write the proportion equation
284,645 : 616,042 = 616,042 : x - Step 2: Convert to fraction form
284,645/616,042 = 616,042/x - Step 3: Cross multiply
284,645x = 616,042 × 616,042 - Step 4: Simplify right side
284,645x = 379,507,745,764 - Step 5: Solve for x
x = 379,507,745,764/284,645 - Step 6: Final answer
x = 1,333,266.86
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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.