Finding the Third Proportional to 213,796 and 461,852
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Solution
The third proportional to 213,796 and 461,852 is: 997,714.04
Step by Step Solution
- Step 1: Write the proportion equation
213,796 : 461,852 = 461,852 : x - Step 2: Convert to fraction form
213,796/461,852 = 461,852/x - Step 3: Cross multiply
213,796x = 461,852 × 461,852 - Step 4: Simplify right side
213,796x = 213,307,269,904 - Step 5: Solve for x
x = 213,307,269,904/213,796 - Step 6: Final answer
x = 997,714.04
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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.