Finding the Third Proportional to 274 and 598
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Solution
The third proportional to 274 and 598 is: 1,305.12
Step by Step Solution
- Step 1: Write the proportion equation
274 : 598 = 598 : x - Step 2: Convert to fraction form
274/598 = 598/x - Step 3: Cross multiply
274x = 598 × 598 - Step 4: Simplify right side
274x = 357,604 - Step 5: Solve for x
x = 357,604/274 - Step 6: Final answer
x = 1,305.12
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.