Finding the Third Proportional to 688 and 873
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Solution
The third proportional to 688 and 873 is: 1,107.75
Step by Step Solution
- Step 1: Write the proportion equation
688 : 873 = 873 : x - Step 2: Convert to fraction form
688/873 = 873/x - Step 3: Cross multiply
688x = 873 × 873 - Step 4: Simplify right side
688x = 762,129 - Step 5: Solve for x
x = 762,129/688 - Step 6: Final answer
x = 1,107.75
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Why These Related Problems?
These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.