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Finding the Third Proportional to 239,828 and 512,886

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Solution

The third proportional to 239,828 and 512,886 is: 1,096,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,828 : 512,886 = 512,886 : x
  2. Step 2: Convert to fraction form
    239,828/512,886 = 512,886/x
  3. Step 3: Cross multiply
    239,828x = 512,886 × 512,886
  4. Step 4: Simplify right side
    239,828x = 263,052,048,996
  5. Step 5: Solve for x
    x = 263,052,048,996/239,828
  6. Step 6: Final answer
    x = 1,096,836.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.