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Finding the Third Proportional to 381,246.75 and 825,256.13

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Solution

The third proportional to 381,246.75 and 825,256.13 is: 1,786,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,246.75 : 825,256.13 = 825,256.13 : x
  2. Step 2: Convert to fraction form
    381,246.75/825,256.13 = 825,256.13/x
  3. Step 3: Cross multiply
    381,246.75x = 825,256.13 × 825,256.13
  4. Step 4: Simplify right side
    381,246.75x = 681,047,671,850.02
  5. Step 5: Solve for x
    x = 681,047,671,850.02/381,246.75
  6. Step 6: Final answer
    x = 1,786,369.78

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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.