Finding the Third Proportional to 493,760 and 737,401
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Solution
The third proportional to 493,760 and 737,401 is: 1,101,264.25
Step by Step Solution
- Step 1: Write the proportion equation
493,760 : 737,401 = 737,401 : x - Step 2: Convert to fraction form
493,760/737,401 = 737,401/x - Step 3: Cross multiply
493,760x = 737,401 × 737,401 - Step 4: Simplify right side
493,760x = 543,760,234,801 - Step 5: Solve for x
x = 543,760,234,801/493,760 - Step 6: Final answer
x = 1,101,264.25
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.