Finding the Third Proportional to 226,032 and 491,424
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Solution
The third proportional to 226,032 and 491,424 is: 1,068,421.94
Step by Step Solution
- Step 1: Write the proportion equation
226,032 : 491,424 = 491,424 : x - Step 2: Convert to fraction form
226,032/491,424 = 491,424/x - Step 3: Cross multiply
226,032x = 491,424 × 491,424 - Step 4: Simplify right side
226,032x = 241,497,547,776 - Step 5: Solve for x
x = 241,497,547,776/226,032 - Step 6: Final answer
x = 1,068,421.94
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.