Finding the Third Proportional to 214,856 and 467,944
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Solution
The third proportional to 214,856 and 467,944 is: 1,019,155.10
Step by Step Solution
- Step 1: Write the proportion equation
214,856 : 467,944 = 467,944 : x - Step 2: Convert to fraction form
214,856/467,944 = 467,944/x - Step 3: Cross multiply
214,856x = 467,944 × 467,944 - Step 4: Simplify right side
214,856x = 218,971,587,136 - Step 5: Solve for x
x = 218,971,587,136/214,856 - Step 6: Final answer
x = 1,019,155.10
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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.