Finding the Third Proportional to 582 and 815.50
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Solution
The third proportional to 582 and 815.50 is: 1,142.68
Step by Step Solution
- Step 1: Write the proportion equation
582 : 815.50 = 815.50 : x - Step 2: Convert to fraction form
582/815.50 = 815.50/x - Step 3: Cross multiply
582x = 815.50 × 815.50 - Step 4: Simplify right side
582x = 665,040.25 - Step 5: Solve for x
x = 665,040.25/582 - Step 6: Final answer
x = 1,142.68
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.