Finding the Third Proportional to 213,328 and 493,868
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Solution
The third proportional to 213,328 and 493,868 is: 1,143,336.09
Step by Step Solution
- Step 1: Write the proportion equation
213,328 : 493,868 = 493,868 : x - Step 2: Convert to fraction form
213,328/493,868 = 493,868/x - Step 3: Cross multiply
213,328x = 493,868 × 493,868 - Step 4: Simplify right side
213,328x = 243,905,601,424 - Step 5: Solve for x
x = 243,905,601,424/213,328 - Step 6: Final answer
x = 1,143,336.09
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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.