Finding the Third Proportional to 213,322 and 493,858
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Solution
The third proportional to 213,322 and 493,858 is: 1,143,321.95
Step by Step Solution
- Step 1: Write the proportion equation
213,322 : 493,858 = 493,858 : x - Step 2: Convert to fraction form
213,322/493,858 = 493,858/x - Step 3: Cross multiply
213,322x = 493,858 × 493,858 - Step 4: Simplify right side
213,322x = 243,895,724,164 - Step 5: Solve for x
x = 243,895,724,164/213,322 - Step 6: Final answer
x = 1,143,321.95
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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.