Finding the Third Proportional to 214,440 and 470,892
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Solution
The third proportional to 214,440 and 470,892 is: 1,034,038.78
Step by Step Solution
- Step 1: Write the proportion equation
214,440 : 470,892 = 470,892 : x - Step 2: Convert to fraction form
214,440/470,892 = 470,892/x - Step 3: Cross multiply
214,440x = 470,892 × 470,892 - Step 4: Simplify right side
214,440x = 221,739,275,664 - Step 5: Solve for x
x = 221,739,275,664/214,440 - Step 6: Final answer
x = 1,034,038.78
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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.