Finding the Third Proportional to 264,406 and 397,194
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Solution
The third proportional to 264,406 and 397,194 is: 596,669.79
Step by Step Solution
- Step 1: Write the proportion equation
264,406 : 397,194 = 397,194 : x - Step 2: Convert to fraction form
264,406/397,194 = 397,194/x - Step 3: Cross multiply
264,406x = 397,194 × 397,194 - Step 4: Simplify right side
264,406x = 157,763,073,636 - Step 5: Solve for x
x = 157,763,073,636/264,406 - Step 6: Final answer
x = 596,669.79
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.