Finding the Third Proportional to 282,300 and 587,832
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Solution
The third proportional to 282,300 and 587,832 is: 1,224,039.89
Step by Step Solution
- Step 1: Write the proportion equation
282,300 : 587,832 = 587,832 : x - Step 2: Convert to fraction form
282,300/587,832 = 587,832/x - Step 3: Cross multiply
282,300x = 587,832 × 587,832 - Step 4: Simplify right side
282,300x = 345,546,460,224 - Step 5: Solve for x
x = 345,546,460,224/282,300 - Step 6: Final answer
x = 1,224,039.89
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.