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Finding the Third Proportional to 383,256 and 806,202

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Solution

The third proportional to 383,256 and 806,202 is: 1,695,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,256 : 806,202 = 806,202 : x
  2. Step 2: Convert to fraction form
    383,256/806,202 = 806,202/x
  3. Step 3: Cross multiply
    383,256x = 806,202 × 806,202
  4. Step 4: Simplify right side
    383,256x = 649,961,664,804
  5. Step 5: Solve for x
    x = 649,961,664,804/383,256
  6. Step 6: Final answer
    x = 1,695,894.30

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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.