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Finding the Third Proportional to 331,865 and 728,242

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Solution

The third proportional to 331,865 and 728,242 is: 1,598,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,865 : 728,242 = 728,242 : x
  2. Step 2: Convert to fraction form
    331,865/728,242 = 728,242/x
  3. Step 3: Cross multiply
    331,865x = 728,242 × 728,242
  4. Step 4: Simplify right side
    331,865x = 530,336,410,564
  5. Step 5: Solve for x
    x = 530,336,410,564/331,865
  6. Step 6: Final answer
    x = 1,598,048.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.