Finding the Third Proportional to 383,314 and 806,348
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Solution
The third proportional to 383,314 and 806,348 is: 1,696,251.89
Step by Step Solution
- Step 1: Write the proportion equation
383,314 : 806,348 = 806,348 : x - Step 2: Convert to fraction form
383,314/806,348 = 806,348/x - Step 3: Cross multiply
383,314x = 806,348 × 806,348 - Step 4: Simplify right side
383,314x = 650,197,097,104 - Step 5: Solve for x
x = 650,197,097,104/383,314 - Step 6: Final answer
x = 1,696,251.89
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.