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Finding the Third Proportional to 285,801 and 603,677

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Solution

The third proportional to 285,801 and 603,677 is: 1,275,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,801 : 603,677 = 603,677 : x
  2. Step 2: Convert to fraction form
    285,801/603,677 = 603,677/x
  3. Step 3: Cross multiply
    285,801x = 603,677 × 603,677
  4. Step 4: Simplify right side
    285,801x = 364,425,920,329
  5. Step 5: Solve for x
    x = 364,425,920,329/285,801
  6. Step 6: Final answer
    x = 1,275,103.73

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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.