Finding the Third Proportional to 216,982 and 483,764
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Solution
The third proportional to 216,982 and 483,764 is: 1,078,557.70
Step by Step Solution
- Step 1: Write the proportion equation
216,982 : 483,764 = 483,764 : x - Step 2: Convert to fraction form
216,982/483,764 = 483,764/x - Step 3: Cross multiply
216,982x = 483,764 × 483,764 - Step 4: Simplify right side
216,982x = 234,027,607,696 - Step 5: Solve for x
x = 234,027,607,696/216,982 - Step 6: Final answer
x = 1,078,557.70
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.