Finding the Third Proportional to 309,015 and 396,211.50
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Solution
The third proportional to 309,015 and 396,211.50 is: 508,012.73
Step by Step Solution
- Step 1: Write the proportion equation
309,015 : 396,211.50 = 396,211.50 : x - Step 2: Convert to fraction form
309,015/396,211.50 = 396,211.50/x - Step 3: Cross multiply
309,015x = 396,211.50 × 396,211.50 - Step 4: Simplify right side
309,015x = 156,983,552,732.25 - Step 5: Solve for x
x = 156,983,552,732.25/309,015 - Step 6: Final answer
x = 508,012.73
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Why These Related Problems?
These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.