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Finding the Third Proportional to 285,002 and 609,825

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Solution

The third proportional to 285,002 and 609,825 is: 1,304,855.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,002 : 609,825 = 609,825 : x
  2. Step 2: Convert to fraction form
    285,002/609,825 = 609,825/x
  3. Step 3: Cross multiply
    285,002x = 609,825 × 609,825
  4. Step 4: Simplify right side
    285,002x = 371,886,530,625
  5. Step 5: Solve for x
    x = 371,886,530,625/285,002
  6. Step 6: Final answer
    x = 1,304,855.86

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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.