Finding the Third Proportional to 230,772 and 498,450
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Solution
The third proportional to 230,772 and 498,450 is: 1,076,614.16
Step by Step Solution
- Step 1: Write the proportion equation
230,772 : 498,450 = 498,450 : x - Step 2: Convert to fraction form
230,772/498,450 = 498,450/x - Step 3: Cross multiply
230,772x = 498,450 × 498,450 - Step 4: Simplify right side
230,772x = 248,452,402,500 - Step 5: Solve for x
x = 248,452,402,500/230,772 - Step 6: Final answer
x = 1,076,614.16
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.