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Finding the Third Proportional to 319,401 and 444,102

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Solution

The third proportional to 319,401 and 444,102 is: 617,488.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,401 : 444,102 = 444,102 : x
  2. Step 2: Convert to fraction form
    319,401/444,102 = 444,102/x
  3. Step 3: Cross multiply
    319,401x = 444,102 × 444,102
  4. Step 4: Simplify right side
    319,401x = 197,226,586,404
  5. Step 5: Solve for x
    x = 197,226,586,404/319,401
  6. Step 6: Final answer
    x = 617,488.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.