Finding the Third Proportional to 230,586 and 496,746
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Solution
The third proportional to 230,586 and 496,746 is: 1,070,128.23
Step by Step Solution
- Step 1: Write the proportion equation
230,586 : 496,746 = 496,746 : x - Step 2: Convert to fraction form
230,586/496,746 = 496,746/x - Step 3: Cross multiply
230,586x = 496,746 × 496,746 - Step 4: Simplify right side
230,586x = 246,756,588,516 - Step 5: Solve for x
x = 246,756,588,516/230,586 - Step 6: Final answer
x = 1,070,128.23
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.