Finding the Third Proportional to 211,286 and 464,044
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Solution
The third proportional to 211,286 and 464,044 is: 1,019,172.28
Step by Step Solution
- Step 1: Write the proportion equation
211,286 : 464,044 = 464,044 : x - Step 2: Convert to fraction form
211,286/464,044 = 464,044/x - Step 3: Cross multiply
211,286x = 464,044 × 464,044 - Step 4: Simplify right side
211,286x = 215,336,833,936 - Step 5: Solve for x
x = 215,336,833,936/211,286 - Step 6: Final answer
x = 1,019,172.28
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.