Finding the Third Proportional to 213,343 and 471,036
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Solution
The third proportional to 213,343 and 471,036 is: 1,039,991.53
Step by Step Solution
- Step 1: Write the proportion equation
213,343 : 471,036 = 471,036 : x - Step 2: Convert to fraction form
213,343/471,036 = 471,036/x - Step 3: Cross multiply
213,343x = 471,036 × 471,036 - Step 4: Simplify right side
213,343x = 221,874,913,296 - Step 5: Solve for x
x = 221,874,913,296/213,343 - Step 6: Final answer
x = 1,039,991.53
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.