Finding the Third Proportional to 579 and 1,092
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Solution
The third proportional to 579 and 1,092 is: 2,059.52
Step by Step Solution
- Step 1: Write the proportion equation
579 : 1,092 = 1,092 : x - Step 2: Convert to fraction form
579/1,092 = 1,092/x - Step 3: Cross multiply
579x = 1,092 × 1,092 - Step 4: Simplify right side
579x = 1,192,464 - Step 5: Solve for x
x = 1,192,464/579 - Step 6: Final answer
x = 2,059.52
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These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.