Finding the Third Proportional to 289 and 676.50
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Solution
The third proportional to 289 and 676.50 is: 1,583.57
Step by Step Solution
- Step 1: Write the proportion equation
289 : 676.50 = 676.50 : x - Step 2: Convert to fraction form
289/676.50 = 676.50/x - Step 3: Cross multiply
289x = 676.50 × 676.50 - Step 4: Simplify right side
289x = 457,652.25 - Step 5: Solve for x
x = 457,652.25/289 - Step 6: Final answer
x = 1,583.57
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.