Finding the Third Proportional to 442 and 849
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Solution
The third proportional to 442 and 849 is: 1,630.77
Step by Step Solution
- Step 1: Write the proportion equation
442 : 849 = 849 : x - Step 2: Convert to fraction form
442/849 = 849/x - Step 3: Cross multiply
442x = 849 × 849 - Step 4: Simplify right side
442x = 720,801 - Step 5: Solve for x
x = 720,801/442 - Step 6: Final answer
x = 1,630.77
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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.