Finding the Third Proportional to 312,834 and 683,034
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Solution
The third proportional to 312,834 and 683,034 is: 1,491,319.50
Step by Step Solution
- Step 1: Write the proportion equation
312,834 : 683,034 = 683,034 : x - Step 2: Convert to fraction form
312,834/683,034 = 683,034/x - Step 3: Cross multiply
312,834x = 683,034 × 683,034 - Step 4: Simplify right side
312,834x = 466,535,445,156 - Step 5: Solve for x
x = 466,535,445,156/312,834 - Step 6: Final answer
x = 1,491,319.50
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.