Finding the Third Proportional to 376,850 and 821,456
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Solution
The third proportional to 376,850 and 821,456 is: 1,790,606.24
Step by Step Solution
- Step 1: Write the proportion equation
376,850 : 821,456 = 821,456 : x - Step 2: Convert to fraction form
376,850/821,456 = 821,456/x - Step 3: Cross multiply
376,850x = 821,456 × 821,456 - Step 4: Simplify right side
376,850x = 674,789,959,936 - Step 5: Solve for x
x = 674,789,959,936/376,850 - Step 6: Final answer
x = 1,790,606.24
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.