Finding the Third Proportional to 217,120 and 471,370
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Solution
The third proportional to 217,120 and 471,370 is: 1,023,349.65
Step by Step Solution
- Step 1: Write the proportion equation
217,120 : 471,370 = 471,370 : x - Step 2: Convert to fraction form
217,120/471,370 = 471,370/x - Step 3: Cross multiply
217,120x = 471,370 × 471,370 - Step 4: Simplify right side
217,120x = 222,189,676,900 - Step 5: Solve for x
x = 222,189,676,900/217,120 - Step 6: Final answer
x = 1,023,349.65
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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.