Finding the Third Proportional to 227,724 and 489,144
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Solution
The third proportional to 227,724 and 489,144 is: 1,050,665.95
Step by Step Solution
- Step 1: Write the proportion equation
227,724 : 489,144 = 489,144 : x - Step 2: Convert to fraction form
227,724/489,144 = 489,144/x - Step 3: Cross multiply
227,724x = 489,144 × 489,144 - Step 4: Simplify right side
227,724x = 239,261,852,736 - Step 5: Solve for x
x = 239,261,852,736/227,724 - Step 6: Final answer
x = 1,050,665.95
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.