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Finding the Third Proportional to 239,190 and 512,724

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Solution

The third proportional to 239,190 and 512,724 is: 1,099,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,190 : 512,724 = 512,724 : x
  2. Step 2: Convert to fraction form
    239,190/512,724 = 512,724/x
  3. Step 3: Cross multiply
    239,190x = 512,724 × 512,724
  4. Step 4: Simplify right side
    239,190x = 262,885,900,176
  5. Step 5: Solve for x
    x = 262,885,900,176/239,190
  6. Step 6: Final answer
    x = 1,099,067.27

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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.