Finding the Third Proportional to 838 and 1,323
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Solution
The third proportional to 838 and 1,323 is: 2,088.70
Step by Step Solution
- Step 1: Write the proportion equation
838 : 1,323 = 1,323 : x - Step 2: Convert to fraction form
838/1,323 = 1,323/x - Step 3: Cross multiply
838x = 1,323 × 1,323 - Step 4: Simplify right side
838x = 1,750,329 - Step 5: Solve for x
x = 1,750,329/838 - Step 6: Final answer
x = 2,088.70
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.