Finding the Third Proportional to 201,836 and 475,784
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Solution
The third proportional to 201,836 and 475,784 is: 1,121,556.19
Step by Step Solution
- Step 1: Write the proportion equation
201,836 : 475,784 = 475,784 : x - Step 2: Convert to fraction form
201,836/475,784 = 475,784/x - Step 3: Cross multiply
201,836x = 475,784 × 475,784 - Step 4: Simplify right side
201,836x = 226,370,414,656 - Step 5: Solve for x
x = 226,370,414,656/201,836 - Step 6: Final answer
x = 1,121,556.19
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.