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Finding the Third Proportional to 348,944 and 523,401

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Solution

The third proportional to 348,944 and 523,401 is: 785,079.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,944 : 523,401 = 523,401 : x
  2. Step 2: Convert to fraction form
    348,944/523,401 = 523,401/x
  3. Step 3: Cross multiply
    348,944x = 523,401 × 523,401
  4. Step 4: Simplify right side
    348,944x = 273,948,606,801
  5. Step 5: Solve for x
    x = 273,948,606,801/348,944
  6. Step 6: Final answer
    x = 785,079.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.