Finding the Third Proportional to 428,844 and 628,942
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Solution
The third proportional to 428,844 and 628,942 is: 922,405.44
Step by Step Solution
- Step 1: Write the proportion equation
428,844 : 628,942 = 628,942 : x - Step 2: Convert to fraction form
428,844/628,942 = 628,942/x - Step 3: Cross multiply
428,844x = 628,942 × 628,942 - Step 4: Simplify right side
428,844x = 395,568,039,364 - Step 5: Solve for x
x = 395,568,039,364/428,844 - Step 6: Final answer
x = 922,405.44
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.