Finding the Third Proportional to 263,784 and 584,496
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Solution
The third proportional to 263,784 and 584,496 is: 1,295,133.80
Step by Step Solution
- Step 1: Write the proportion equation
263,784 : 584,496 = 584,496 : x - Step 2: Convert to fraction form
263,784/584,496 = 584,496/x - Step 3: Cross multiply
263,784x = 584,496 × 584,496 - Step 4: Simplify right side
263,784x = 341,635,574,016 - Step 5: Solve for x
x = 341,635,574,016/263,784 - Step 6: Final answer
x = 1,295,133.80
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.