Finding the Third Proportional to 522 and 1,108
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Solution
The third proportional to 522 and 1,108 is: 2,351.85
Step by Step Solution
- Step 1: Write the proportion equation
522 : 1,108 = 1,108 : x - Step 2: Convert to fraction form
522/1,108 = 1,108/x - Step 3: Cross multiply
522x = 1,108 × 1,108 - Step 4: Simplify right side
522x = 1,227,664 - Step 5: Solve for x
x = 1,227,664/522 - Step 6: Final answer
x = 2,351.85
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.