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Finding the Third Proportional to 263,008 and 427,296

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Solution

The third proportional to 263,008 and 427,296 is: 694,206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,008 : 427,296 = 427,296 : x
  2. Step 2: Convert to fraction form
    263,008/427,296 = 427,296/x
  3. Step 3: Cross multiply
    263,008x = 427,296 × 427,296
  4. Step 4: Simplify right side
    263,008x = 182,581,871,616
  5. Step 5: Solve for x
    x = 182,581,871,616/263,008
  6. Step 6: Final answer
    x = 694,206.53

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.