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Finding the Third Proportional to 338,081 and 483,425

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Solution

The third proportional to 338,081 and 483,425 is: 691,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,081 : 483,425 = 483,425 : x
  2. Step 2: Convert to fraction form
    338,081/483,425 = 483,425/x
  3. Step 3: Cross multiply
    338,081x = 483,425 × 483,425
  4. Step 4: Simplify right side
    338,081x = 233,699,730,625
  5. Step 5: Solve for x
    x = 233,699,730,625/338,081
  6. Step 6: Final answer
    x = 691,253.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.