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Finding the Third Proportional to 245,027 and 500,422

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Solution

The third proportional to 245,027 and 500,422 is: 1,022,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,027 : 500,422 = 500,422 : x
  2. Step 2: Convert to fraction form
    245,027/500,422 = 500,422/x
  3. Step 3: Cross multiply
    245,027x = 500,422 × 500,422
  4. Step 4: Simplify right side
    245,027x = 250,422,178,084
  5. Step 5: Solve for x
    x = 250,422,178,084/245,027
  6. Step 6: Final answer
    x = 1,022,018.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.