Finding the Third Proportional to 214,852 and 463,868
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Solution
The third proportional to 214,852 and 463,868 is: 1,001,496.48
Step by Step Solution
- Step 1: Write the proportion equation
214,852 : 463,868 = 463,868 : x - Step 2: Convert to fraction form
214,852/463,868 = 463,868/x - Step 3: Cross multiply
214,852x = 463,868 × 463,868 - Step 4: Simplify right side
214,852x = 215,173,521,424 - Step 5: Solve for x
x = 215,173,521,424/214,852 - Step 6: Final answer
x = 1,001,496.48
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.