Finding the Third Proportional to 232,464 and 491,036
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Solution
The third proportional to 232,464 and 491,036 is: 1,037,220.19
Step by Step Solution
- Step 1: Write the proportion equation
232,464 : 491,036 = 491,036 : x - Step 2: Convert to fraction form
232,464/491,036 = 491,036/x - Step 3: Cross multiply
232,464x = 491,036 × 491,036 - Step 4: Simplify right side
232,464x = 241,116,353,296 - Step 5: Solve for x
x = 241,116,353,296/232,464 - Step 6: Final answer
x = 1,037,220.19
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.