Finding the Third Proportional to 209,030 and 459,678
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Solution
The third proportional to 209,030 and 459,678 is: 1,010,878.17
Step by Step Solution
- Step 1: Write the proportion equation
209,030 : 459,678 = 459,678 : x - Step 2: Convert to fraction form
209,030/459,678 = 459,678/x - Step 3: Cross multiply
209,030x = 459,678 × 459,678 - Step 4: Simplify right side
209,030x = 211,303,863,684 - Step 5: Solve for x
x = 211,303,863,684/209,030 - Step 6: Final answer
x = 1,010,878.17
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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.