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Finding the Third Proportional to 488,794.50 and 682,860.38

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Solution

The third proportional to 488,794.50 and 682,860.38 is: 953,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,794.50 : 682,860.38 = 682,860.38 : x
  2. Step 2: Convert to fraction form
    488,794.50/682,860.38 = 682,860.38/x
  3. Step 3: Cross multiply
    488,794.50x = 682,860.38 × 682,860.38
  4. Step 4: Simplify right side
    488,794.50x = 466,298,291,745.14
  5. Step 5: Solve for x
    x = 466,298,291,745.14/488,794.50
  6. Step 6: Final answer
    x = 953,976.14

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.