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Finding the Third Proportional to 367,074 and 483,759

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Solution

The third proportional to 367,074 and 483,759 is: 637,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,074 : 483,759 = 483,759 : x
  2. Step 2: Convert to fraction form
    367,074/483,759 = 483,759/x
  3. Step 3: Cross multiply
    367,074x = 483,759 × 483,759
  4. Step 4: Simplify right side
    367,074x = 234,022,770,081
  5. Step 5: Solve for x
    x = 234,022,770,081/367,074
  6. Step 6: Final answer
    x = 637,535.67

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.