Finding the Third Proportional to 511,852 and 802,872
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Solution
The third proportional to 511,852 and 802,872 is: 1,259,355.14
Step by Step Solution
- Step 1: Write the proportion equation
511,852 : 802,872 = 802,872 : x - Step 2: Convert to fraction form
511,852/802,872 = 802,872/x - Step 3: Cross multiply
511,852x = 802,872 × 802,872 - Step 4: Simplify right side
511,852x = 644,603,448,384 - Step 5: Solve for x
x = 644,603,448,384/511,852 - Step 6: Final answer
x = 1,259,355.14
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.