Finding the Third Proportional to 389,216 and 839,200
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Solution
The third proportional to 389,216 and 839,200 is: 1,809,423.66
Step by Step Solution
- Step 1: Write the proportion equation
389,216 : 839,200 = 839,200 : x - Step 2: Convert to fraction form
389,216/839,200 = 839,200/x - Step 3: Cross multiply
389,216x = 839,200 × 839,200 - Step 4: Simplify right side
389,216x = 704,256,640,000 - Step 5: Solve for x
x = 704,256,640,000/389,216 - Step 6: Final answer
x = 1,809,423.66
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.