Finding the Third Proportional to 196,784 and 430,504
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Solution
The third proportional to 196,784 and 430,504 is: 941,812.82
Step by Step Solution
- Step 1: Write the proportion equation
196,784 : 430,504 = 430,504 : x - Step 2: Convert to fraction form
196,784/430,504 = 430,504/x - Step 3: Cross multiply
196,784x = 430,504 × 430,504 - Step 4: Simplify right side
196,784x = 185,333,694,016 - Step 5: Solve for x
x = 185,333,694,016/196,784 - Step 6: Final answer
x = 941,812.82
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.