Finding the Third Proportional to 227,814 and 497,100
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Solution
The third proportional to 227,814 and 497,100 is: 1,084,693.70
Step by Step Solution
- Step 1: Write the proportion equation
227,814 : 497,100 = 497,100 : x - Step 2: Convert to fraction form
227,814/497,100 = 497,100/x - Step 3: Cross multiply
227,814x = 497,100 × 497,100 - Step 4: Simplify right side
227,814x = 247,108,410,000 - Step 5: Solve for x
x = 247,108,410,000/227,814 - Step 6: Final answer
x = 1,084,693.70
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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.