Finding the Third Proportional to 227,008 and 493,728
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Solution
The third proportional to 227,008 and 493,728 is: 1,073,827.08
Step by Step Solution
- Step 1: Write the proportion equation
227,008 : 493,728 = 493,728 : x - Step 2: Convert to fraction form
227,008/493,728 = 493,728/x - Step 3: Cross multiply
227,008x = 493,728 × 493,728 - Step 4: Simplify right side
227,008x = 243,767,337,984 - Step 5: Solve for x
x = 243,767,337,984/227,008 - Step 6: Final answer
x = 1,073,827.08
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.