Finding the Third Proportional to 916 and 1,224
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Solution
The third proportional to 916 and 1,224 is: 1,635.56
Step by Step Solution
- Step 1: Write the proportion equation
916 : 1,224 = 1,224 : x - Step 2: Convert to fraction form
916/1,224 = 1,224/x - Step 3: Cross multiply
916x = 1,224 × 1,224 - Step 4: Simplify right side
916x = 1,498,176 - Step 5: Solve for x
x = 1,498,176/916 - Step 6: Final answer
x = 1,635.56
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.