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Finding the Third Proportional to 400,256 and 619,087

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Solution

The third proportional to 400,256 and 619,087 is: 957,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,256 : 619,087 = 619,087 : x
  2. Step 2: Convert to fraction form
    400,256/619,087 = 619,087/x
  3. Step 3: Cross multiply
    400,256x = 619,087 × 619,087
  4. Step 4: Simplify right side
    400,256x = 383,268,713,569
  5. Step 5: Solve for x
    x = 383,268,713,569/400,256
  6. Step 6: Final answer
    x = 957,558.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.