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Finding the Third Proportional to 467,859 and 682,834.50

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Solution

The third proportional to 467,859 and 682,834.50 is: 996,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,859 : 682,834.50 = 682,834.50 : x
  2. Step 2: Convert to fraction form
    467,859/682,834.50 = 682,834.50/x
  3. Step 3: Cross multiply
    467,859x = 682,834.50 × 682,834.50
  4. Step 4: Simplify right side
    467,859x = 466,262,954,390.25
  5. Step 5: Solve for x
    x = 466,262,954,390.25/467,859
  6. Step 6: Final answer
    x = 996,588.62

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.