Finding the Third Proportional to 282,784 and 585,252
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Solution
The third proportional to 282,784 and 585,252 is: 1,211,242.16
Step by Step Solution
- Step 1: Write the proportion equation
282,784 : 585,252 = 585,252 : x - Step 2: Convert to fraction form
282,784/585,252 = 585,252/x - Step 3: Cross multiply
282,784x = 585,252 × 585,252 - Step 4: Simplify right side
282,784x = 342,519,903,504 - Step 5: Solve for x
x = 342,519,903,504/282,784 - Step 6: Final answer
x = 1,211,242.16
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.