Finding the Third Proportional to 493 and 1,109
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Solution
The third proportional to 493 and 1,109 is: 2,494.69
Step by Step Solution
- Step 1: Write the proportion equation
493 : 1,109 = 1,109 : x - Step 2: Convert to fraction form
493/1,109 = 1,109/x - Step 3: Cross multiply
493x = 1,109 × 1,109 - Step 4: Simplify right side
493x = 1,229,881 - Step 5: Solve for x
x = 1,229,881/493 - Step 6: Final answer
x = 2,494.69
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Why These Related Problems?
These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.