Finding the Third Proportional to 436,900 and 586,734
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Solution
The third proportional to 436,900 and 586,734 is: 787,953.28
Step by Step Solution
- Step 1: Write the proportion equation
436,900 : 586,734 = 586,734 : x - Step 2: Convert to fraction form
436,900/586,734 = 586,734/x - Step 3: Cross multiply
436,900x = 586,734 × 586,734 - Step 4: Simplify right side
436,900x = 344,256,786,756 - Step 5: Solve for x
x = 344,256,786,756/436,900 - Step 6: Final answer
x = 787,953.28
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.