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Finding the Third Proportional to 332,977 and 722,087

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Solution

The third proportional to 332,977 and 722,087 is: 1,565,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,977 : 722,087 = 722,087 : x
  2. Step 2: Convert to fraction form
    332,977/722,087 = 722,087/x
  3. Step 3: Cross multiply
    332,977x = 722,087 × 722,087
  4. Step 4: Simplify right side
    332,977x = 521,409,635,569
  5. Step 5: Solve for x
    x = 521,409,635,569/332,977
  6. Step 6: Final answer
    x = 1,565,902.86

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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.