Finding the Third Proportional to 228,536 and 496,383
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Solution
The third proportional to 228,536 and 496,383 is: 1,078,149.98
Step by Step Solution
- Step 1: Write the proportion equation
228,536 : 496,383 = 496,383 : x - Step 2: Convert to fraction form
228,536/496,383 = 496,383/x - Step 3: Cross multiply
228,536x = 496,383 × 496,383 - Step 4: Simplify right side
228,536x = 246,396,082,689 - Step 5: Solve for x
x = 246,396,082,689/228,536 - Step 6: Final answer
x = 1,078,149.98
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.