Finding the Third Proportional to 462 and 519
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Solution
The third proportional to 462 and 519 is: 583.03
Step by Step Solution
- Step 1: Write the proportion equation
462 : 519 = 519 : x - Step 2: Convert to fraction form
462/519 = 519/x - Step 3: Cross multiply
462x = 519 × 519 - Step 4: Simplify right side
462x = 269,361 - Step 5: Solve for x
x = 269,361/462 - Step 6: Final answer
x = 583.03
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.