Finding the Third Proportional to 319,640 and 689,096
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Solution
The third proportional to 319,640 and 689,096 is: 1,485,587.84
Step by Step Solution
- Step 1: Write the proportion equation
319,640 : 689,096 = 689,096 : x - Step 2: Convert to fraction form
319,640/689,096 = 689,096/x - Step 3: Cross multiply
319,640x = 689,096 × 689,096 - Step 4: Simplify right side
319,640x = 474,853,297,216 - Step 5: Solve for x
x = 474,853,297,216/319,640 - Step 6: Final answer
x = 1,485,587.84
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.