Finding the Third Proportional to 599 and 1,153
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Solution
The third proportional to 599 and 1,153 is: 2,219.38
Step by Step Solution
- Step 1: Write the proportion equation
599 : 1,153 = 1,153 : x - Step 2: Convert to fraction form
599/1,153 = 1,153/x - Step 3: Cross multiply
599x = 1,153 × 1,153 - Step 4: Simplify right side
599x = 1,329,409 - Step 5: Solve for x
x = 1,329,409/599 - Step 6: Final answer
x = 2,219.38
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.