Finding the Third Proportional to 529 and 596.50
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Solution
The third proportional to 529 and 596.50 is: 672.61
Step by Step Solution
- Step 1: Write the proportion equation
529 : 596.50 = 596.50 : x - Step 2: Convert to fraction form
529/596.50 = 596.50/x - Step 3: Cross multiply
529x = 596.50 × 596.50 - Step 4: Simplify right side
529x = 355,812.25 - Step 5: Solve for x
x = 355,812.25/529 - Step 6: Final answer
x = 672.61
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.