Finding the Third Proportional to 227,714 and 494,803
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Solution
The third proportional to 227,714 and 494,803 is: 1,075,164.50
Step by Step Solution
- Step 1: Write the proportion equation
227,714 : 494,803 = 494,803 : x - Step 2: Convert to fraction form
227,714/494,803 = 494,803/x - Step 3: Cross multiply
227,714x = 494,803 × 494,803 - Step 4: Simplify right side
227,714x = 244,830,008,809 - Step 5: Solve for x
x = 244,830,008,809/227,714 - Step 6: Final answer
x = 1,075,164.50
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.