Finding the Third Proportional to 309,108 and 659,043
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Solution
The third proportional to 309,108 and 659,043 is: 1,405,132.43
Step by Step Solution
- Step 1: Write the proportion equation
309,108 : 659,043 = 659,043 : x - Step 2: Convert to fraction form
309,108/659,043 = 659,043/x - Step 3: Cross multiply
309,108x = 659,043 × 659,043 - Step 4: Simplify right side
309,108x = 434,337,675,849 - Step 5: Solve for x
x = 434,337,675,849/309,108 - Step 6: Final answer
x = 1,405,132.43
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.