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Finding the Third Proportional to 383,263 and 806,252

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Solution

The third proportional to 383,263 and 806,252 is: 1,696,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,263 : 806,252 = 806,252 : x
  2. Step 2: Convert to fraction form
    383,263/806,252 = 806,252/x
  3. Step 3: Cross multiply
    383,263x = 806,252 × 806,252
  4. Step 4: Simplify right side
    383,263x = 650,042,287,504
  5. Step 5: Solve for x
    x = 650,042,287,504/383,263
  6. Step 6: Final answer
    x = 1,696,073.68

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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.