Finding the Third Proportional to 226,814 and 488,296
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Solution
The third proportional to 226,814 and 488,296 is: 1,051,226.92
Step by Step Solution
- Step 1: Write the proportion equation
226,814 : 488,296 = 488,296 : x - Step 2: Convert to fraction form
226,814/488,296 = 488,296/x - Step 3: Cross multiply
226,814x = 488,296 × 488,296 - Step 4: Simplify right side
226,814x = 238,432,983,616 - Step 5: Solve for x
x = 238,432,983,616/226,814 - Step 6: Final answer
x = 1,051,226.92
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.