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Finding the Third Proportional to 285,717 and 603,242

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Solution

The third proportional to 285,717 and 603,242 is: 1,273,641.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,717 : 603,242 = 603,242 : x
  2. Step 2: Convert to fraction form
    285,717/603,242 = 603,242/x
  3. Step 3: Cross multiply
    285,717x = 603,242 × 603,242
  4. Step 4: Simplify right side
    285,717x = 363,900,910,564
  5. Step 5: Solve for x
    x = 363,900,910,564/285,717
  6. Step 6: Final answer
    x = 1,273,641.09

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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.