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Finding the Third Proportional to 454,746 and 682,107

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Solution

The third proportional to 454,746 and 682,107 is: 1,023,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,746 : 682,107 = 682,107 : x
  2. Step 2: Convert to fraction form
    454,746/682,107 = 682,107/x
  3. Step 3: Cross multiply
    454,746x = 682,107 × 682,107
  4. Step 4: Simplify right side
    454,746x = 465,269,959,449
  5. Step 5: Solve for x
    x = 465,269,959,449/454,746
  6. Step 6: Final answer
    x = 1,023,142.50

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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.