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Finding the Third Proportional to 230,401 and 505,087

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Solution

The third proportional to 230,401 and 505,087 is: 1,107,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,401 : 505,087 = 505,087 : x
  2. Step 2: Convert to fraction form
    230,401/505,087 = 505,087/x
  3. Step 3: Cross multiply
    230,401x = 505,087 × 505,087
  4. Step 4: Simplify right side
    230,401x = 255,112,877,569
  5. Step 5: Solve for x
    x = 255,112,877,569/230,401
  6. Step 6: Final answer
    x = 1,107,255.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.