Finding the Third Proportional to 226,814 and 493,036
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Solution
The third proportional to 226,814 and 493,036 is: 1,071,734.98
Step by Step Solution
- Step 1: Write the proportion equation
226,814 : 493,036 = 493,036 : x - Step 2: Convert to fraction form
226,814/493,036 = 493,036/x - Step 3: Cross multiply
226,814x = 493,036 × 493,036 - Step 4: Simplify right side
226,814x = 243,084,497,296 - Step 5: Solve for x
x = 243,084,497,296/226,814 - Step 6: Final answer
x = 1,071,734.98
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.