Finding the Third Proportional to 226,836 and 497,088
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Solution
The third proportional to 226,836 and 497,088 is: 1,089,317.74
Step by Step Solution
- Step 1: Write the proportion equation
226,836 : 497,088 = 497,088 : x - Step 2: Convert to fraction form
226,836/497,088 = 497,088/x - Step 3: Cross multiply
226,836x = 497,088 × 497,088 - Step 4: Simplify right side
226,836x = 247,096,479,744 - Step 5: Solve for x
x = 247,096,479,744/226,836 - Step 6: Final answer
x = 1,089,317.74
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.