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Finding the Third Proportional to 483,540 and 679,734

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Solution

The third proportional to 483,540 and 679,734 is: 955,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,540 : 679,734 = 679,734 : x
  2. Step 2: Convert to fraction form
    483,540/679,734 = 679,734/x
  3. Step 3: Cross multiply
    483,540x = 679,734 × 679,734
  4. Step 4: Simplify right side
    483,540x = 462,038,310,756
  5. Step 5: Solve for x
    x = 462,038,310,756/483,540
  6. Step 6: Final answer
    x = 955,532.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.