Finding the Third Proportional to 233,194 and 494,412
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Solution
The third proportional to 233,194 and 494,412 is: 1,048,239.77
Step by Step Solution
- Step 1: Write the proportion equation
233,194 : 494,412 = 494,412 : x - Step 2: Convert to fraction form
233,194/494,412 = 494,412/x - Step 3: Cross multiply
233,194x = 494,412 × 494,412 - Step 4: Simplify right side
233,194x = 244,443,225,744 - Step 5: Solve for x
x = 244,443,225,744/233,194 - Step 6: Final answer
x = 1,048,239.77
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.