Finding the Third Proportional to 338 and 723.50
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Solution
The third proportional to 338 and 723.50 is: 1,548.68
Step by Step Solution
- Step 1: Write the proportion equation
338 : 723.50 = 723.50 : x - Step 2: Convert to fraction form
338/723.50 = 723.50/x - Step 3: Cross multiply
338x = 723.50 × 723.50 - Step 4: Simplify right side
338x = 523,452.25 - Step 5: Solve for x
x = 523,452.25/338 - Step 6: Final answer
x = 1,548.68
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.