Finding the Third Proportional to 405,776 and 874,016
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Solution
The third proportional to 405,776 and 874,016 is: 1,882,575.53
Step by Step Solution
- Step 1: Write the proportion equation
405,776 : 874,016 = 874,016 : x - Step 2: Convert to fraction form
405,776/874,016 = 874,016/x - Step 3: Cross multiply
405,776x = 874,016 × 874,016 - Step 4: Simplify right side
405,776x = 763,903,968,256 - Step 5: Solve for x
x = 763,903,968,256/405,776 - Step 6: Final answer
x = 1,882,575.53
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.