Finding the Third Proportional to 434 and 493
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Solution
The third proportional to 434 and 493 is: 560.02
Step by Step Solution
- Step 1: Write the proportion equation
434 : 493 = 493 : x - Step 2: Convert to fraction form
434/493 = 493/x - Step 3: Cross multiply
434x = 493 × 493 - Step 4: Simplify right side
434x = 243,049 - Step 5: Solve for x
x = 243,049/434 - Step 6: Final answer
x = 560.02
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.