Finding the Third Proportional to 381,574 and 828,704
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Solution
The third proportional to 381,574 and 828,704 is: 1,799,782.79
Step by Step Solution
- Step 1: Write the proportion equation
381,574 : 828,704 = 828,704 : x - Step 2: Convert to fraction form
381,574/828,704 = 828,704/x - Step 3: Cross multiply
381,574x = 828,704 × 828,704 - Step 4: Simplify right side
381,574x = 686,750,319,616 - Step 5: Solve for x
x = 686,750,319,616/381,574 - Step 6: Final answer
x = 1,799,782.79
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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.