Finding the Third Proportional to 214,376 and 466,848
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Solution
The third proportional to 214,376 and 466,848 is: 1,016,657.91
Step by Step Solution
- Step 1: Write the proportion equation
214,376 : 466,848 = 466,848 : x - Step 2: Convert to fraction form
214,376/466,848 = 466,848/x - Step 3: Cross multiply
214,376x = 466,848 × 466,848 - Step 4: Simplify right side
214,376x = 217,947,055,104 - Step 5: Solve for x
x = 217,947,055,104/214,376 - Step 6: Final answer
x = 1,016,657.91
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.