Finding the Third Proportional to 282,564 and 613,728
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Solution
The third proportional to 282,564 and 613,728 is: 1,333,015.03
Step by Step Solution
- Step 1: Write the proportion equation
282,564 : 613,728 = 613,728 : x - Step 2: Convert to fraction form
282,564/613,728 = 613,728/x - Step 3: Cross multiply
282,564x = 613,728 × 613,728 - Step 4: Simplify right side
282,564x = 376,662,057,984 - Step 5: Solve for x
x = 376,662,057,984/282,564 - Step 6: Final answer
x = 1,333,015.03
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.