Finding the Third Proportional to 897 and 1,737
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Solution
The third proportional to 897 and 1,737 is: 3,363.62
Step by Step Solution
- Step 1: Write the proportion equation
897 : 1,737 = 1,737 : x - Step 2: Convert to fraction form
897/1,737 = 1,737/x - Step 3: Cross multiply
897x = 1,737 × 1,737 - Step 4: Simplify right side
897x = 3,017,169 - Step 5: Solve for x
x = 3,017,169/897 - Step 6: Final answer
x = 3,363.62
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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.