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Finding the Third Proportional to 339,143 and 539,849

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Solution

The third proportional to 339,143 and 539,849 is: 859,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,143 : 539,849 = 539,849 : x
  2. Step 2: Convert to fraction form
    339,143/539,849 = 539,849/x
  3. Step 3: Cross multiply
    339,143x = 539,849 × 539,849
  4. Step 4: Simplify right side
    339,143x = 291,436,942,801
  5. Step 5: Solve for x
    x = 291,436,942,801/339,143
  6. Step 6: Final answer
    x = 859,333.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.