Finding the Third Proportional to 264,536 and 397,407
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Solution
The third proportional to 264,536 and 397,407 is: 597,016.37
Step by Step Solution
- Step 1: Write the proportion equation
264,536 : 397,407 = 397,407 : x - Step 2: Convert to fraction form
264,536/397,407 = 397,407/x - Step 3: Cross multiply
264,536x = 397,407 × 397,407 - Step 4: Simplify right side
264,536x = 157,932,323,649 - Step 5: Solve for x
x = 157,932,323,649/264,536 - Step 6: Final answer
x = 597,016.37
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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.