Finding the Third Proportional to 211,300 and 464,072
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Solution
The third proportional to 211,300 and 464,072 is: 1,019,227.74
Step by Step Solution
- Step 1: Write the proportion equation
211,300 : 464,072 = 464,072 : x - Step 2: Convert to fraction form
211,300/464,072 = 464,072/x - Step 3: Cross multiply
211,300x = 464,072 × 464,072 - Step 4: Simplify right side
211,300x = 215,362,821,184 - Step 5: Solve for x
x = 215,362,821,184/211,300 - Step 6: Final answer
x = 1,019,227.74
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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.