Finding the Third Proportional to 909 and 1,758
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Solution
The third proportional to 909 and 1,758 is: 3,399.96
Step by Step Solution
- Step 1: Write the proportion equation
909 : 1,758 = 1,758 : x - Step 2: Convert to fraction form
909/1,758 = 1,758/x - Step 3: Cross multiply
909x = 1,758 × 1,758 - Step 4: Simplify right side
909x = 3,090,564 - Step 5: Solve for x
x = 3,090,564/909 - Step 6: Final answer
x = 3,399.96
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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.