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Finding the Third Proportional to 404,765 and 603,867

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Solution

The third proportional to 404,765 and 603,867 is: 900,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,765 : 603,867 = 603,867 : x
  2. Step 2: Convert to fraction form
    404,765/603,867 = 603,867/x
  3. Step 3: Cross multiply
    404,765x = 603,867 × 603,867
  4. Step 4: Simplify right side
    404,765x = 364,655,353,689
  5. Step 5: Solve for x
    x = 364,655,353,689/404,765
  6. Step 6: Final answer
    x = 900,906.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.