Finding the Third Proportional to 290,638 and 649,316
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Solution
The third proportional to 290,638 and 649,316 is: 1,450,640.55
Step by Step Solution
- Step 1: Write the proportion equation
290,638 : 649,316 = 649,316 : x - Step 2: Convert to fraction form
290,638/649,316 = 649,316/x - Step 3: Cross multiply
290,638x = 649,316 × 649,316 - Step 4: Simplify right side
290,638x = 421,611,267,856 - Step 5: Solve for x
x = 421,611,267,856/290,638 - Step 6: Final answer
x = 1,450,640.55
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.