Finding the Third Proportional to 503 and 1,232
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Solution
The third proportional to 503 and 1,232 is: 3,017.54
Step by Step Solution
- Step 1: Write the proportion equation
503 : 1,232 = 1,232 : x - Step 2: Convert to fraction form
503/1,232 = 1,232/x - Step 3: Cross multiply
503x = 1,232 × 1,232 - Step 4: Simplify right side
503x = 1,517,824 - Step 5: Solve for x
x = 1,517,824/503 - Step 6: Final answer
x = 3,017.54
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Why These Related Problems?
These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.