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Finding the Third Proportional to 332,666 and 521,172

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Solution

The third proportional to 332,666 and 521,172 is: 816,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,666 : 521,172 = 521,172 : x
  2. Step 2: Convert to fraction form
    332,666/521,172 = 521,172/x
  3. Step 3: Cross multiply
    332,666x = 521,172 × 521,172
  4. Step 4: Simplify right side
    332,666x = 271,620,253,584
  5. Step 5: Solve for x
    x = 271,620,253,584/332,666
  6. Step 6: Final answer
    x = 816,495.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.