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Finding the Third Proportional to 239,503 and 333,009

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Solution

The third proportional to 239,503 and 333,009 is: 463,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,503 : 333,009 = 333,009 : x
  2. Step 2: Convert to fraction form
    239,503/333,009 = 333,009/x
  3. Step 3: Cross multiply
    239,503x = 333,009 × 333,009
  4. Step 4: Simplify right side
    239,503x = 110,894,994,081
  5. Step 5: Solve for x
    x = 110,894,994,081/239,503
  6. Step 6: Final answer
    x = 463,021.32

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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.