Finding the Third Proportional to 214,848 and 467,928
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Solution
The third proportional to 214,848 and 467,928 is: 1,019,123.35
Step by Step Solution
- Step 1: Write the proportion equation
214,848 : 467,928 = 467,928 : x - Step 2: Convert to fraction form
214,848/467,928 = 467,928/x - Step 3: Cross multiply
214,848x = 467,928 × 467,928 - Step 4: Simplify right side
214,848x = 218,956,613,184 - Step 5: Solve for x
x = 218,956,613,184/214,848 - Step 6: Final answer
x = 1,019,123.35
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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.