Finding the Third Proportional to 397,000 and 863,978
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Solution
The third proportional to 397,000 and 863,978 is: 1,880,246.81
Step by Step Solution
- Step 1: Write the proportion equation
397,000 : 863,978 = 863,978 : x - Step 2: Convert to fraction form
397,000/863,978 = 863,978/x - Step 3: Cross multiply
397,000x = 863,978 × 863,978 - Step 4: Simplify right side
397,000x = 746,457,984,484 - Step 5: Solve for x
x = 746,457,984,484/397,000 - Step 6: Final answer
x = 1,880,246.81
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.