Finding the Third Proportional to 226,800 and 497,016
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Solution
The third proportional to 226,800 and 497,016 is: 1,089,175.06
Step by Step Solution
- Step 1: Write the proportion equation
226,800 : 497,016 = 497,016 : x - Step 2: Convert to fraction form
226,800/497,016 = 497,016/x - Step 3: Cross multiply
226,800x = 497,016 × 497,016 - Step 4: Simplify right side
226,800x = 247,024,904,256 - Step 5: Solve for x
x = 247,024,904,256/226,800 - Step 6: Final answer
x = 1,089,175.06
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.