Finding the Third Proportional to 217,122 and 471,380
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Solution
The third proportional to 217,122 and 471,380 is: 1,023,383.65
Step by Step Solution
- Step 1: Write the proportion equation
217,122 : 471,380 = 471,380 : x - Step 2: Convert to fraction form
217,122/471,380 = 471,380/x - Step 3: Cross multiply
217,122x = 471,380 × 471,380 - Step 4: Simplify right side
217,122x = 222,199,104,400 - Step 5: Solve for x
x = 222,199,104,400/217,122 - Step 6: Final answer
x = 1,023,383.65
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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.