Finding the Third Proportional to 214,416 and 483,471
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Solution
The third proportional to 214,416 and 483,471 is: 1,090,143.50
Step by Step Solution
- Step 1: Write the proportion equation
214,416 : 483,471 = 483,471 : x - Step 2: Convert to fraction form
214,416/483,471 = 483,471/x - Step 3: Cross multiply
214,416x = 483,471 × 483,471 - Step 4: Simplify right side
214,416x = 233,744,207,841 - Step 5: Solve for x
x = 233,744,207,841/214,416 - Step 6: Final answer
x = 1,090,143.50
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.