Finding the Third Proportional to 280,200 and 599,766
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Solution
The third proportional to 280,200 and 599,766 is: 1,283,794.63
Step by Step Solution
- Step 1: Write the proportion equation
280,200 : 599,766 = 599,766 : x - Step 2: Convert to fraction form
280,200/599,766 = 599,766/x - Step 3: Cross multiply
280,200x = 599,766 × 599,766 - Step 4: Simplify right side
280,200x = 359,719,254,756 - Step 5: Solve for x
x = 359,719,254,756/280,200 - Step 6: Final answer
x = 1,283,794.63
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.