Finding the Third Proportional to 381,269 and 825,295
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Solution
The third proportional to 381,269 and 825,295 is: 1,786,433.82
Step by Step Solution
- Step 1: Write the proportion equation
381,269 : 825,295 = 825,295 : x - Step 2: Convert to fraction form
381,269/825,295 = 825,295/x - Step 3: Cross multiply
381,269x = 825,295 × 825,295 - Step 4: Simplify right side
381,269x = 681,111,837,025 - Step 5: Solve for x
x = 681,111,837,025/381,269 - Step 6: Final answer
x = 1,786,433.82
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.