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Finding the Third Proportional to 332,000 and 720,296

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Solution

The third proportional to 332,000 and 720,296 is: 1,562,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,000 : 720,296 = 720,296 : x
  2. Step 2: Convert to fraction form
    332,000/720,296 = 720,296/x
  3. Step 3: Cross multiply
    332,000x = 720,296 × 720,296
  4. Step 4: Simplify right side
    332,000x = 518,826,327,616
  5. Step 5: Solve for x
    x = 518,826,327,616/332,000
  6. Step 6: Final answer
    x = 1,562,729.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.