Finding the Third Proportional to 211,282 and 464,036
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Solution
The third proportional to 211,282 and 464,036 is: 1,019,156.43
Step by Step Solution
- Step 1: Write the proportion equation
211,282 : 464,036 = 464,036 : x - Step 2: Convert to fraction form
211,282/464,036 = 464,036/x - Step 3: Cross multiply
211,282x = 464,036 × 464,036 - Step 4: Simplify right side
211,282x = 215,329,409,296 - Step 5: Solve for x
x = 215,329,409,296/211,282 - Step 6: Final answer
x = 1,019,156.43
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.