Finding the Third Proportional to 289,012 and 383,586
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Solution
The third proportional to 289,012 and 383,586 is: 509,107.65
Step by Step Solution
- Step 1: Write the proportion equation
289,012 : 383,586 = 383,586 : x - Step 2: Convert to fraction form
289,012/383,586 = 383,586/x - Step 3: Cross multiply
289,012x = 383,586 × 383,586 - Step 4: Simplify right side
289,012x = 147,138,219,396 - Step 5: Solve for x
x = 147,138,219,396/289,012 - Step 6: Final answer
x = 509,107.65
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.