Finding the Third Proportional to 434 and 600
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Solution
The third proportional to 434 and 600 is: 829.49
Step by Step Solution
- Step 1: Write the proportion equation
434 : 600 = 600 : x - Step 2: Convert to fraction form
434/600 = 600/x - Step 3: Cross multiply
434x = 600 × 600 - Step 4: Simplify right side
434x = 360,000 - Step 5: Solve for x
x = 360,000/434 - Step 6: Final answer
x = 829.49
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.