Finding the Third Proportional to 761 and 1,098
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Solution
The third proportional to 761 and 1,098 is: 1,584.24
Step by Step Solution
- Step 1: Write the proportion equation
761 : 1,098 = 1,098 : x - Step 2: Convert to fraction form
761/1,098 = 1,098/x - Step 3: Cross multiply
761x = 1,098 × 1,098 - Step 4: Simplify right side
761x = 1,205,604 - Step 5: Solve for x
x = 1,205,604/761 - Step 6: Final answer
x = 1,584.24
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.