Finding the Third Proportional to 593 and 1,338
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Solution
The third proportional to 593 and 1,338 is: 3,018.96
Step by Step Solution
- Step 1: Write the proportion equation
593 : 1,338 = 1,338 : x - Step 2: Convert to fraction form
593/1,338 = 1,338/x - Step 3: Cross multiply
593x = 1,338 × 1,338 - Step 4: Simplify right side
593x = 1,790,244 - Step 5: Solve for x
x = 1,790,244/593 - Step 6: Final answer
x = 3,018.96
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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.