Finding the Third Proportional to 230,664 and 496,880
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Solution
The third proportional to 230,664 and 496,880 is: 1,070,343.59
Step by Step Solution
- Step 1: Write the proportion equation
230,664 : 496,880 = 496,880 : x - Step 2: Convert to fraction form
230,664/496,880 = 496,880/x - Step 3: Cross multiply
230,664x = 496,880 × 496,880 - Step 4: Simplify right side
230,664x = 246,889,734,400 - Step 5: Solve for x
x = 246,889,734,400/230,664 - Step 6: Final answer
x = 1,070,343.59
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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.