Finding the Third Proportional to 280,300 and 612,764
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Solution
The third proportional to 280,300 and 612,764 is: 1,339,563.75
Step by Step Solution
- Step 1: Write the proportion equation
280,300 : 612,764 = 612,764 : x - Step 2: Convert to fraction form
280,300/612,764 = 612,764/x - Step 3: Cross multiply
280,300x = 612,764 × 612,764 - Step 4: Simplify right side
280,300x = 375,479,719,696 - Step 5: Solve for x
x = 375,479,719,696/280,300 - Step 6: Final answer
x = 1,339,563.75
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.