Finding the Third Proportional to 258,800 and 548,704
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Solution
The third proportional to 258,800 and 548,704 is: 1,163,354.25
Step by Step Solution
- Step 1: Write the proportion equation
258,800 : 548,704 = 548,704 : x - Step 2: Convert to fraction form
258,800/548,704 = 548,704/x - Step 3: Cross multiply
258,800x = 548,704 × 548,704 - Step 4: Simplify right side
258,800x = 301,076,079,616 - Step 5: Solve for x
x = 301,076,079,616/258,800 - Step 6: Final answer
x = 1,163,354.25
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.