Finding the Third Proportional to 224,826 and 489,310
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Solution
The third proportional to 224,826 and 489,310 is: 1,064,931.44
Step by Step Solution
- Step 1: Write the proportion equation
224,826 : 489,310 = 489,310 : x - Step 2: Convert to fraction form
224,826/489,310 = 489,310/x - Step 3: Cross multiply
224,826x = 489,310 × 489,310 - Step 4: Simplify right side
224,826x = 239,424,276,100 - Step 5: Solve for x
x = 239,424,276,100/224,826 - Step 6: Final answer
x = 1,064,931.44
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.