Finding the Third Proportional to 213,318 and 493,848
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Solution
The third proportional to 213,318 and 493,848 is: 1,143,297.08
Step by Step Solution
- Step 1: Write the proportion equation
213,318 : 493,848 = 493,848 : x - Step 2: Convert to fraction form
213,318/493,848 = 493,848/x - Step 3: Cross multiply
213,318x = 493,848 × 493,848 - Step 4: Simplify right side
213,318x = 243,885,847,104 - Step 5: Solve for x
x = 243,885,847,104/213,318 - Step 6: Final answer
x = 1,143,297.08
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.