Finding the Third Proportional to 518,361 and 811,401
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Solution
The third proportional to 518,361 and 811,401 is: 1,270,102.46
Step by Step Solution
- Step 1: Write the proportion equation
518,361 : 811,401 = 811,401 : x - Step 2: Convert to fraction form
518,361/811,401 = 811,401/x - Step 3: Cross multiply
518,361x = 811,401 × 811,401 - Step 4: Simplify right side
518,361x = 658,371,582,801 - Step 5: Solve for x
x = 658,371,582,801/518,361 - Step 6: Final answer
x = 1,270,102.46
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.