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Finding the Third Proportional to 367,078 and 483,765

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Solution

The third proportional to 367,078 and 483,765 is: 637,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,078 : 483,765 = 483,765 : x
  2. Step 2: Convert to fraction form
    367,078/483,765 = 483,765/x
  3. Step 3: Cross multiply
    367,078x = 483,765 × 483,765
  4. Step 4: Simplify right side
    367,078x = 234,028,575,225
  5. Step 5: Solve for x
    x = 234,028,575,225/367,078
  6. Step 6: Final answer
    x = 637,544.54

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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.