Finding the Third Proportional to 229,376 and 489,856
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Solution
The third proportional to 229,376 and 489,856 is: 1,046,137.79
Step by Step Solution
- Step 1: Write the proportion equation
229,376 : 489,856 = 489,856 : x - Step 2: Convert to fraction form
229,376/489,856 = 489,856/x - Step 3: Cross multiply
229,376x = 489,856 × 489,856 - Step 4: Simplify right side
229,376x = 239,958,900,736 - Step 5: Solve for x
x = 239,958,900,736/229,376 - Step 6: Final answer
x = 1,046,137.79
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.