Finding the Third Proportional to 405,144 and 836,208
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Solution
The third proportional to 405,144 and 836,208 is: 1,725,914.29
Step by Step Solution
- Step 1: Write the proportion equation
405,144 : 836,208 = 836,208 : x - Step 2: Convert to fraction form
405,144/836,208 = 836,208/x - Step 3: Cross multiply
405,144x = 836,208 × 836,208 - Step 4: Simplify right side
405,144x = 699,243,819,264 - Step 5: Solve for x
x = 699,243,819,264/405,144 - Step 6: Final answer
x = 1,725,914.29
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.