Finding the Third Proportional to 262,450 and 407,163
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Solution
The third proportional to 262,450 and 407,163 is: 631,669.68
Step by Step Solution
- Step 1: Write the proportion equation
262,450 : 407,163 = 407,163 : x - Step 2: Convert to fraction form
262,450/407,163 = 407,163/x - Step 3: Cross multiply
262,450x = 407,163 × 407,163 - Step 4: Simplify right side
262,450x = 165,781,708,569 - Step 5: Solve for x
x = 165,781,708,569/262,450 - Step 6: Final answer
x = 631,669.68
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.