Finding the Third Proportional to 586 and 846.50
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Solution
The third proportional to 586 and 846.50 is: 1,222.80
Step by Step Solution
- Step 1: Write the proportion equation
586 : 846.50 = 846.50 : x - Step 2: Convert to fraction form
586/846.50 = 846.50/x - Step 3: Cross multiply
586x = 846.50 × 846.50 - Step 4: Simplify right side
586x = 716,562.25 - Step 5: Solve for x
x = 716,562.25/586 - Step 6: Final answer
x = 1,222.80
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.