Finding the Third Proportional to 311,182 and 633,780
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Solution
The third proportional to 311,182 and 633,780 is: 1,290,810.81
Step by Step Solution
- Step 1: Write the proportion equation
311,182 : 633,780 = 633,780 : x - Step 2: Convert to fraction form
311,182/633,780 = 633,780/x - Step 3: Cross multiply
311,182x = 633,780 × 633,780 - Step 4: Simplify right side
311,182x = 401,677,088,400 - Step 5: Solve for x
x = 401,677,088,400/311,182 - Step 6: Final answer
x = 1,290,810.81
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.