Finding the Third Proportional to 319,760 and 683,828
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Solution
The third proportional to 319,760 and 683,828 is: 1,462,411.60
Step by Step Solution
- Step 1: Write the proportion equation
319,760 : 683,828 = 683,828 : x - Step 2: Convert to fraction form
319,760/683,828 = 683,828/x - Step 3: Cross multiply
319,760x = 683,828 × 683,828 - Step 4: Simplify right side
319,760x = 467,620,733,584 - Step 5: Solve for x
x = 467,620,733,584/319,760 - Step 6: Final answer
x = 1,462,411.60
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.