Finding the Third Proportional to 227,984 and 497,912
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Solution
The third proportional to 227,984 and 497,912 is: 1,087,428.77
Step by Step Solution
- Step 1: Write the proportion equation
227,984 : 497,912 = 497,912 : x - Step 2: Convert to fraction form
227,984/497,912 = 497,912/x - Step 3: Cross multiply
227,984x = 497,912 × 497,912 - Step 4: Simplify right side
227,984x = 247,916,359,744 - Step 5: Solve for x
x = 247,916,359,744/227,984 - Step 6: Final answer
x = 1,087,428.77
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.