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Finding the Third Proportional to 323,962 and 479,567

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Solution

The third proportional to 323,962 and 479,567 is: 709,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,962 : 479,567 = 479,567 : x
  2. Step 2: Convert to fraction form
    323,962/479,567 = 479,567/x
  3. Step 3: Cross multiply
    323,962x = 479,567 × 479,567
  4. Step 4: Simplify right side
    323,962x = 229,984,507,489
  5. Step 5: Solve for x
    x = 229,984,507,489/323,962
  6. Step 6: Final answer
    x = 709,911.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.