Finding the Third Proportional to 409,504 and 878,300
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Solution
The third proportional to 409,504 and 878,300 is: 1,883,768.88
Step by Step Solution
- Step 1: Write the proportion equation
409,504 : 878,300 = 878,300 : x - Step 2: Convert to fraction form
409,504/878,300 = 878,300/x - Step 3: Cross multiply
409,504x = 878,300 × 878,300 - Step 4: Simplify right side
409,504x = 771,410,890,000 - Step 5: Solve for x
x = 771,410,890,000/409,504 - Step 6: Final answer
x = 1,883,768.88
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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.