Finding the Third Proportional to 214,464 and 471,228
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Solution
The third proportional to 214,464 and 471,228 is: 1,035,399.08
Step by Step Solution
- Step 1: Write the proportion equation
214,464 : 471,228 = 471,228 : x - Step 2: Convert to fraction form
214,464/471,228 = 471,228/x - Step 3: Cross multiply
214,464x = 471,228 × 471,228 - Step 4: Simplify right side
214,464x = 222,055,827,984 - Step 5: Solve for x
x = 222,055,827,984/214,464 - Step 6: Final answer
x = 1,035,399.08
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.