Finding the Third Proportional to 414,471.75 and 659,073.75
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Solution
The third proportional to 414,471.75 and 659,073.75 is: 1,048,028.50
Step by Step Solution
- Step 1: Write the proportion equation
414,471.75 : 659,073.75 = 659,073.75 : x - Step 2: Convert to fraction form
414,471.75/659,073.75 = 659,073.75/x - Step 3: Cross multiply
414,471.75x = 659,073.75 × 659,073.75 - Step 4: Simplify right side
414,471.75x = 434,378,207,939.06 - Step 5: Solve for x
x = 434,378,207,939.06/414,471.75 - Step 6: Final answer
x = 1,048,028.50
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.