Finding the Third Proportional to 215,646 and 467,946
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Solution
The third proportional to 215,646 and 467,946 is: 1,015,430.19
Step by Step Solution
- Step 1: Write the proportion equation
215,646 : 467,946 = 467,946 : x - Step 2: Convert to fraction form
215,646/467,946 = 467,946/x - Step 3: Cross multiply
215,646x = 467,946 × 467,946 - Step 4: Simplify right side
215,646x = 218,973,458,916 - Step 5: Solve for x
x = 218,973,458,916/215,646 - Step 6: Final answer
x = 1,015,430.19
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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.