Finding the Third Proportional to 580 and 626
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Solution
The third proportional to 580 and 626 is: 675.65
Step by Step Solution
- Step 1: Write the proportion equation
580 : 626 = 626 : x - Step 2: Convert to fraction form
580/626 = 626/x - Step 3: Cross multiply
580x = 626 × 626 - Step 4: Simplify right side
580x = 391,876 - Step 5: Solve for x
x = 391,876/580 - Step 6: Final answer
x = 675.65
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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.