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Finding the Third Proportional to 458,704 and 694,976

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Solution

The third proportional to 458,704 and 694,976 is: 1,052,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,704 : 694,976 = 694,976 : x
  2. Step 2: Convert to fraction form
    458,704/694,976 = 694,976/x
  3. Step 3: Cross multiply
    458,704x = 694,976 × 694,976
  4. Step 4: Simplify right side
    458,704x = 482,991,640,576
  5. Step 5: Solve for x
    x = 482,991,640,576/458,704
  6. Step 6: Final answer
    x = 1,052,948.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.