Finding the Third Proportional to 443,846 and 649,157
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Solution
The third proportional to 443,846 and 649,157 is: 949,439.24
Step by Step Solution
- Step 1: Write the proportion equation
443,846 : 649,157 = 649,157 : x - Step 2: Convert to fraction form
443,846/649,157 = 649,157/x - Step 3: Cross multiply
443,846x = 649,157 × 649,157 - Step 4: Simplify right side
443,846x = 421,404,810,649 - Step 5: Solve for x
x = 421,404,810,649/443,846 - Step 6: Final answer
x = 949,439.24
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.