Finding the Third Proportional to 239,204 and 493,474
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Solution
The third proportional to 239,204 and 493,474 is: 1,018,028.92
Step by Step Solution
- Step 1: Write the proportion equation
239,204 : 493,474 = 493,474 : x - Step 2: Convert to fraction form
239,204/493,474 = 493,474/x - Step 3: Cross multiply
239,204x = 493,474 × 493,474 - Step 4: Simplify right side
239,204x = 243,516,588,676 - Step 5: Solve for x
x = 243,516,588,676/239,204 - Step 6: Final answer
x = 1,018,028.92
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.