Finding the Third Proportional to 897 and 1,342
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Solution
The third proportional to 897 and 1,342 is: 2,007.76
Step by Step Solution
- Step 1: Write the proportion equation
897 : 1,342 = 1,342 : x - Step 2: Convert to fraction form
897/1,342 = 1,342/x - Step 3: Cross multiply
897x = 1,342 × 1,342 - Step 4: Simplify right side
897x = 1,800,964 - Step 5: Solve for x
x = 1,800,964/897 - Step 6: Final answer
x = 2,007.76
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.