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Finding the Third Proportional to 289,393 and 600,962

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Solution

The third proportional to 289,393 and 600,962 is: 1,247,975.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,393 : 600,962 = 600,962 : x
  2. Step 2: Convert to fraction form
    289,393/600,962 = 600,962/x
  3. Step 3: Cross multiply
    289,393x = 600,962 × 600,962
  4. Step 4: Simplify right side
    289,393x = 361,155,325,444
  5. Step 5: Solve for x
    x = 361,155,325,444/289,393
  6. Step 6: Final answer
    x = 1,247,975.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.