Finding the Third Proportional to 289,016 and 383,592
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Solution
The third proportional to 289,016 and 383,592 is: 509,116.53
Step by Step Solution
- Step 1: Write the proportion equation
289,016 : 383,592 = 383,592 : x - Step 2: Convert to fraction form
289,016/383,592 = 383,592/x - Step 3: Cross multiply
289,016x = 383,592 × 383,592 - Step 4: Simplify right side
289,016x = 147,142,822,464 - Step 5: Solve for x
x = 147,142,822,464/289,016 - Step 6: Final answer
x = 509,116.53
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.