Finding the Third Proportional to 214,661 and 466,204
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Solution
The third proportional to 214,661 and 466,204 is: 1,012,508.88
Step by Step Solution
- Step 1: Write the proportion equation
214,661 : 466,204 = 466,204 : x - Step 2: Convert to fraction form
214,661/466,204 = 466,204/x - Step 3: Cross multiply
214,661x = 466,204 × 466,204 - Step 4: Simplify right side
214,661x = 217,346,169,616 - Step 5: Solve for x
x = 217,346,169,616/214,661 - Step 6: Final answer
x = 1,012,508.88
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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.