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Finding the Third Proportional to 332,296 and 522,252

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Solution

The third proportional to 332,296 and 522,252 is: 820,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,296 : 522,252 = 522,252 : x
  2. Step 2: Convert to fraction form
    332,296/522,252 = 522,252/x
  3. Step 3: Cross multiply
    332,296x = 522,252 × 522,252
  4. Step 4: Simplify right side
    332,296x = 272,747,151,504
  5. Step 5: Solve for x
    x = 272,747,151,504/332,296
  6. Step 6: Final answer
    x = 820,795.77

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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.