Finding the Third Proportional to 944 and 1,412
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Solution
The third proportional to 944 and 1,412 is: 2,112.02
Step by Step Solution
- Step 1: Write the proportion equation
944 : 1,412 = 1,412 : x - Step 2: Convert to fraction form
944/1,412 = 1,412/x - Step 3: Cross multiply
944x = 1,412 × 1,412 - Step 4: Simplify right side
944x = 1,993,744 - Step 5: Solve for x
x = 1,993,744/944 - Step 6: Final answer
x = 2,112.02
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.