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Finding the Third Proportional to 344,969 and 483,404

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Solution

The third proportional to 344,969 and 483,404 is: 677,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,969 : 483,404 = 483,404 : x
  2. Step 2: Convert to fraction form
    344,969/483,404 = 483,404/x
  3. Step 3: Cross multiply
    344,969x = 483,404 × 483,404
  4. Step 4: Simplify right side
    344,969x = 233,679,427,216
  5. Step 5: Solve for x
    x = 233,679,427,216/344,969
  6. Step 6: Final answer
    x = 677,392.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.