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Finding the Third Proportional to 483,593 and 726,605

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Solution

The third proportional to 483,593 and 726,605 is: 1,091,733.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,593 : 726,605 = 726,605 : x
  2. Step 2: Convert to fraction form
    483,593/726,605 = 726,605/x
  3. Step 3: Cross multiply
    483,593x = 726,605 × 726,605
  4. Step 4: Simplify right side
    483,593x = 527,954,826,025
  5. Step 5: Solve for x
    x = 527,954,826,025/483,593
  6. Step 6: Final answer
    x = 1,091,733.81

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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.