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Finding the Third Proportional to 239,394 and 504,036

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Solution

The third proportional to 239,394 and 504,036 is: 1,061,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,394 : 504,036 = 504,036 : x
  2. Step 2: Convert to fraction form
    239,394/504,036 = 504,036/x
  3. Step 3: Cross multiply
    239,394x = 504,036 × 504,036
  4. Step 4: Simplify right side
    239,394x = 254,052,289,296
  5. Step 5: Solve for x
    x = 254,052,289,296/239,394
  6. Step 6: Final answer
    x = 1,061,230.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.