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Finding the Third Proportional to 453,910 and 682,823

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Solution

The third proportional to 453,910 and 682,823 is: 1,027,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,910 : 682,823 = 682,823 : x
  2. Step 2: Convert to fraction form
    453,910/682,823 = 682,823/x
  3. Step 3: Cross multiply
    453,910x = 682,823 × 682,823
  4. Step 4: Simplify right side
    453,910x = 466,247,249,329
  5. Step 5: Solve for x
    x = 466,247,249,329/453,910
  6. Step 6: Final answer
    x = 1,027,179.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.