Finding the Third Proportional to 504 and 1,014
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Solution
The third proportional to 504 and 1,014 is: 2,040.07
Step by Step Solution
- Step 1: Write the proportion equation
504 : 1,014 = 1,014 : x - Step 2: Convert to fraction form
504/1,014 = 1,014/x - Step 3: Cross multiply
504x = 1,014 × 1,014 - Step 4: Simplify right side
504x = 1,028,196 - Step 5: Solve for x
x = 1,028,196/504 - Step 6: Final answer
x = 2,040.07
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Why These Related Problems?
These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.