Finding the Third Proportional to 590 and 1,243
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Solution
The third proportional to 590 and 1,243 is: 2,618.73
Step by Step Solution
- Step 1: Write the proportion equation
590 : 1,243 = 1,243 : x - Step 2: Convert to fraction form
590/1,243 = 1,243/x - Step 3: Cross multiply
590x = 1,243 × 1,243 - Step 4: Simplify right side
590x = 1,545,049 - Step 5: Solve for x
x = 1,545,049/590 - Step 6: Final answer
x = 2,618.73
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.