Finding the Third Proportional to 264,768 and 397,744
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Solution
The third proportional to 264,768 and 397,744 is: 597,505.32
Step by Step Solution
- Step 1: Write the proportion equation
264,768 : 397,744 = 397,744 : x - Step 2: Convert to fraction form
264,768/397,744 = 397,744/x - Step 3: Cross multiply
264,768x = 397,744 × 397,744 - Step 4: Simplify right side
264,768x = 158,200,289,536 - Step 5: Solve for x
x = 158,200,289,536/264,768 - Step 6: Final answer
x = 597,505.32
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.