Finding the Third Proportional to 550 and 834
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Solution
The third proportional to 550 and 834 is: 1,264.65
Step by Step Solution
- Step 1: Write the proportion equation
550 : 834 = 834 : x - Step 2: Convert to fraction form
550/834 = 834/x - Step 3: Cross multiply
550x = 834 × 834 - Step 4: Simplify right side
550x = 695,556 - Step 5: Solve for x
x = 695,556/550 - Step 6: Final answer
x = 1,264.65
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.