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Finding the Third Proportional to 239,424 and 504,768

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Solution

The third proportional to 239,424 and 504,768 is: 1,064,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,424 : 504,768 = 504,768 : x
  2. Step 2: Convert to fraction form
    239,424/504,768 = 504,768/x
  3. Step 3: Cross multiply
    239,424x = 504,768 × 504,768
  4. Step 4: Simplify right side
    239,424x = 254,790,733,824
  5. Step 5: Solve for x
    x = 254,790,733,824/239,424
  6. Step 6: Final answer
    x = 1,064,182.09

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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.