Finding the Third Proportional to 214,078 and 470,530
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Solution
The third proportional to 214,078 and 470,530 is: 1,034,195.39
Step by Step Solution
- Step 1: Write the proportion equation
214,078 : 470,530 = 470,530 : x - Step 2: Convert to fraction form
214,078/470,530 = 470,530/x - Step 3: Cross multiply
214,078x = 470,530 × 470,530 - Step 4: Simplify right side
214,078x = 221,398,480,900 - Step 5: Solve for x
x = 221,398,480,900/214,078 - Step 6: Final answer
x = 1,034,195.39
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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.