Finding the Third Proportional to 250,504 and 509,757
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Solution
The third proportional to 250,504 and 509,757 is: 1,037,317.56
Step by Step Solution
- Step 1: Write the proportion equation
250,504 : 509,757 = 509,757 : x - Step 2: Convert to fraction form
250,504/509,757 = 509,757/x - Step 3: Cross multiply
250,504x = 509,757 × 509,757 - Step 4: Simplify right side
250,504x = 259,852,199,049 - Step 5: Solve for x
x = 259,852,199,049/250,504 - Step 6: Final answer
x = 1,037,317.56
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.