Finding the Third Proportional to 226,748 and 494,322
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Solution
The third proportional to 226,748 and 494,322 is: 1,077,646.73
Step by Step Solution
- Step 1: Write the proportion equation
226,748 : 494,322 = 494,322 : x - Step 2: Convert to fraction form
226,748/494,322 = 494,322/x - Step 3: Cross multiply
226,748x = 494,322 × 494,322 - Step 4: Simplify right side
226,748x = 244,354,239,684 - Step 5: Solve for x
x = 244,354,239,684/226,748 - Step 6: Final answer
x = 1,077,646.73
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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.