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Finding the Third Proportional to 262,400 and 417,734

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Solution

The third proportional to 262,400 and 417,734 is: 665,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,400 : 417,734 = 417,734 : x
  2. Step 2: Convert to fraction form
    262,400/417,734 = 417,734/x
  3. Step 3: Cross multiply
    262,400x = 417,734 × 417,734
  4. Step 4: Simplify right side
    262,400x = 174,501,694,756
  5. Step 5: Solve for x
    x = 174,501,694,756/262,400
  6. Step 6: Final answer
    x = 665,021.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.