Finding the Third Proportional to 228,284 and 491,704
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Solution
The third proportional to 228,284 and 491,704 is: 1,059,087.91
Step by Step Solution
- Step 1: Write the proportion equation
228,284 : 491,704 = 491,704 : x - Step 2: Convert to fraction form
228,284/491,704 = 491,704/x - Step 3: Cross multiply
228,284x = 491,704 × 491,704 - Step 4: Simplify right side
228,284x = 241,772,823,616 - Step 5: Solve for x
x = 241,772,823,616/228,284 - Step 6: Final answer
x = 1,059,087.91
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.