Finding the Third Proportional to 289,942 and 443,525
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Solution
The third proportional to 289,942 and 443,525 is: 678,461.30
Step by Step Solution
- Step 1: Write the proportion equation
289,942 : 443,525 = 443,525 : x - Step 2: Convert to fraction form
289,942/443,525 = 443,525/x - Step 3: Cross multiply
289,942x = 443,525 × 443,525 - Step 4: Simplify right side
289,942x = 196,714,425,625 - Step 5: Solve for x
x = 196,714,425,625/289,942 - Step 6: Final answer
x = 678,461.30
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.