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Finding the Third Proportional to 237,771 and 483,846

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Solution

The third proportional to 237,771 and 483,846 is: 984,590.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,771 : 483,846 = 483,846 : x
  2. Step 2: Convert to fraction form
    237,771/483,846 = 483,846/x
  3. Step 3: Cross multiply
    237,771x = 483,846 × 483,846
  4. Step 4: Simplify right side
    237,771x = 234,106,951,716
  5. Step 5: Solve for x
    x = 234,106,951,716/237,771
  6. Step 6: Final answer
    x = 984,590.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.