Finding the Third Proportional to 231,884 and 536,850
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Solution
The third proportional to 231,884 and 536,850 is: 1,242,896.98
Step by Step Solution
- Step 1: Write the proportion equation
231,884 : 536,850 = 536,850 : x - Step 2: Convert to fraction form
231,884/536,850 = 536,850/x - Step 3: Cross multiply
231,884x = 536,850 × 536,850 - Step 4: Simplify right side
231,884x = 288,207,922,500 - Step 5: Solve for x
x = 288,207,922,500/231,884 - Step 6: Final answer
x = 1,242,896.98
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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.