Finding the Third Proportional to 206,923 and 443,363
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Solution
The third proportional to 206,923 and 443,363 is: 949,970.52
Step by Step Solution
- Step 1: Write the proportion equation
206,923 : 443,363 = 443,363 : x - Step 2: Convert to fraction form
206,923/443,363 = 443,363/x - Step 3: Cross multiply
206,923x = 443,363 × 443,363 - Step 4: Simplify right side
206,923x = 196,570,749,769 - Step 5: Solve for x
x = 196,570,749,769/206,923 - Step 6: Final answer
x = 949,970.52
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.