Finding the Third Proportional to 309,262 and 659,023
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Solution
The third proportional to 309,262 and 659,023 is: 1,404,347.49
Step by Step Solution
- Step 1: Write the proportion equation
309,262 : 659,023 = 659,023 : x - Step 2: Convert to fraction form
309,262/659,023 = 659,023/x - Step 3: Cross multiply
309,262x = 659,023 × 659,023 - Step 4: Simplify right side
309,262x = 434,311,314,529 - Step 5: Solve for x
x = 434,311,314,529/309,262 - Step 6: Final answer
x = 1,404,347.49
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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.