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Finding the Third Proportional to 605,180 and 879,393

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Solution

The third proportional to 605,180 and 879,393 is: 1,277,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,180 : 879,393 = 879,393 : x
  2. Step 2: Convert to fraction form
    605,180/879,393 = 879,393/x
  3. Step 3: Cross multiply
    605,180x = 879,393 × 879,393
  4. Step 4: Simplify right side
    605,180x = 773,332,048,449
  5. Step 5: Solve for x
    x = 773,332,048,449/605,180
  6. Step 6: Final answer
    x = 1,277,854.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.