Finding the Third Proportional to 212,258 and 461,992
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Solution
The third proportional to 212,258 and 461,992 is: 1,005,552.71
Step by Step Solution
- Step 1: Write the proportion equation
212,258 : 461,992 = 461,992 : x - Step 2: Convert to fraction form
212,258/461,992 = 461,992/x - Step 3: Cross multiply
212,258x = 461,992 × 461,992 - Step 4: Simplify right side
212,258x = 213,436,608,064 - Step 5: Solve for x
x = 213,436,608,064/212,258 - Step 6: Final answer
x = 1,005,552.71
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.