Finding the Third Proportional to 238,302 and 523,834
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Solution
The third proportional to 238,302 and 523,834 is: 1,151,488.70
Step by Step Solution
- Step 1: Write the proportion equation
238,302 : 523,834 = 523,834 : x - Step 2: Convert to fraction form
238,302/523,834 = 523,834/x - Step 3: Cross multiply
238,302x = 523,834 × 523,834 - Step 4: Simplify right side
238,302x = 274,402,059,556 - Step 5: Solve for x
x = 274,402,059,556/238,302 - Step 6: Final answer
x = 1,151,488.70
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.