Finding the Third Proportional to 197,086 and 446,784
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Solution
The third proportional to 197,086 and 446,784 is: 1,012,836.74
Step by Step Solution
- Step 1: Write the proportion equation
197,086 : 446,784 = 446,784 : x - Step 2: Convert to fraction form
197,086/446,784 = 446,784/x - Step 3: Cross multiply
197,086x = 446,784 × 446,784 - Step 4: Simplify right side
197,086x = 199,615,942,656 - Step 5: Solve for x
x = 199,615,942,656/197,086 - Step 6: Final answer
x = 1,012,836.74
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Why These Related Problems?
These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.