Finding the Third Proportional to 498 and 1,193
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Solution
The third proportional to 498 and 1,193 is: 2,857.93
Step by Step Solution
- Step 1: Write the proportion equation
498 : 1,193 = 1,193 : x - Step 2: Convert to fraction form
498/1,193 = 1,193/x - Step 3: Cross multiply
498x = 1,193 × 1,193 - Step 4: Simplify right side
498x = 1,423,249 - Step 5: Solve for x
x = 1,423,249/498 - Step 6: Final answer
x = 2,857.93
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Why These Related Problems?
These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.