Finding the Third Proportional to 227,580 and 327,822
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Solution
The third proportional to 227,580 and 327,822 is: 472,217.52
Step by Step Solution
- Step 1: Write the proportion equation
227,580 : 327,822 = 327,822 : x - Step 2: Convert to fraction form
227,580/327,822 = 327,822/x - Step 3: Cross multiply
227,580x = 327,822 × 327,822 - Step 4: Simplify right side
227,580x = 107,467,263,684 - Step 5: Solve for x
x = 107,467,263,684/227,580 - Step 6: Final answer
x = 472,217.52
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.