Finding the Third Proportional to 280,786 and 600,164
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Solution
The third proportional to 280,786 and 600,164 is: 1,282,816.19
Step by Step Solution
- Step 1: Write the proportion equation
280,786 : 600,164 = 600,164 : x - Step 2: Convert to fraction form
280,786/600,164 = 600,164/x - Step 3: Cross multiply
280,786x = 600,164 × 600,164 - Step 4: Simplify right side
280,786x = 360,196,826,896 - Step 5: Solve for x
x = 360,196,826,896/280,786 - Step 6: Final answer
x = 1,282,816.19
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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.