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Finding the Third Proportional to 239,523 and 333,036

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Solution

The third proportional to 239,523 and 333,036 is: 463,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,523 : 333,036 = 333,036 : x
  2. Step 2: Convert to fraction form
    239,523/333,036 = 333,036/x
  3. Step 3: Cross multiply
    239,523x = 333,036 × 333,036
  4. Step 4: Simplify right side
    239,523x = 110,912,977,296
  5. Step 5: Solve for x
    x = 110,912,977,296/239,523
  6. Step 6: Final answer
    x = 463,057.73

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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.