Finding the Third Proportional to 211,338 and 461,862
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Solution
The third proportional to 211,338 and 461,862 is: 1,009,361.81
Step by Step Solution
- Step 1: Write the proportion equation
211,338 : 461,862 = 461,862 : x - Step 2: Convert to fraction form
211,338/461,862 = 461,862/x - Step 3: Cross multiply
211,338x = 461,862 × 461,862 - Step 4: Simplify right side
211,338x = 213,316,507,044 - Step 5: Solve for x
x = 213,316,507,044/211,338 - Step 6: Final answer
x = 1,009,361.81
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.