Finding the Third Proportional to 203,897 and 474,057
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Solution
The third proportional to 203,897 and 474,057 is: 1,102,174.33
Step by Step Solution
- Step 1: Write the proportion equation
203,897 : 474,057 = 474,057 : x - Step 2: Convert to fraction form
203,897/474,057 = 474,057/x - Step 3: Cross multiply
203,897x = 474,057 × 474,057 - Step 4: Simplify right side
203,897x = 224,730,039,249 - Step 5: Solve for x
x = 224,730,039,249/203,897 - Step 6: Final answer
x = 1,102,174.33
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.