Finding the Third Proportional to 226,800 and 498,658
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Solution
The third proportional to 226,800 and 498,658 is: 1,096,383.60
Step by Step Solution
- Step 1: Write the proportion equation
226,800 : 498,658 = 498,658 : x - Step 2: Convert to fraction form
226,800/498,658 = 498,658/x - Step 3: Cross multiply
226,800x = 498,658 × 498,658 - Step 4: Simplify right side
226,800x = 248,659,800,964 - Step 5: Solve for x
x = 248,659,800,964/226,800 - Step 6: Final answer
x = 1,096,383.60
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.