Finding the Third Proportional to 284,160 and 622,464
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Solution
The third proportional to 284,160 and 622,464 is: 1,363,532.63
Step by Step Solution
- Step 1: Write the proportion equation
284,160 : 622,464 = 622,464 : x - Step 2: Convert to fraction form
284,160/622,464 = 622,464/x - Step 3: Cross multiply
284,160x = 622,464 × 622,464 - Step 4: Simplify right side
284,160x = 387,461,431,296 - Step 5: Solve for x
x = 387,461,431,296/284,160 - Step 6: Final answer
x = 1,363,532.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.