Finding the Third Proportional to 280,224 and 443,025
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Solution
The third proportional to 280,224 and 443,025 is: 700,408.07
Step by Step Solution
- Step 1: Write the proportion equation
280,224 : 443,025 = 443,025 : x - Step 2: Convert to fraction form
280,224/443,025 = 443,025/x - Step 3: Cross multiply
280,224x = 443,025 × 443,025 - Step 4: Simplify right side
280,224x = 196,271,150,625 - Step 5: Solve for x
x = 196,271,150,625/280,224 - Step 6: Final answer
x = 700,408.07
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.