Finding the Third Proportional to 394 and 973
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Solution
The third proportional to 394 and 973 is: 2,402.87
Step by Step Solution
- Step 1: Write the proportion equation
394 : 973 = 973 : x - Step 2: Convert to fraction form
394/973 = 973/x - Step 3: Cross multiply
394x = 973 × 973 - Step 4: Simplify right side
394x = 946,729 - Step 5: Solve for x
x = 946,729/394 - Step 6: Final answer
x = 2,402.87
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Why These Related Problems?
These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.