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Finding the Third Proportional to 332,069 and 733,913

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Solution

The third proportional to 332,069 and 733,913 is: 1,622,037.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,069 : 733,913 = 733,913 : x
  2. Step 2: Convert to fraction form
    332,069/733,913 = 733,913/x
  3. Step 3: Cross multiply
    332,069x = 733,913 × 733,913
  4. Step 4: Simplify right side
    332,069x = 538,628,291,569
  5. Step 5: Solve for x
    x = 538,628,291,569/332,069
  6. Step 6: Final answer
    x = 1,622,037.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.