Finding the Third Proportional to 217,176 and 471,472
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Solution
The third proportional to 217,176 and 471,472 is: 1,023,528.60
Step by Step Solution
- Step 1: Write the proportion equation
217,176 : 471,472 = 471,472 : x - Step 2: Convert to fraction form
217,176/471,472 = 471,472/x - Step 3: Cross multiply
217,176x = 471,472 × 471,472 - Step 4: Simplify right side
217,176x = 222,285,846,784 - Step 5: Solve for x
x = 222,285,846,784/217,176 - Step 6: Final answer
x = 1,023,528.60
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.