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Finding the Third Proportional to 397,728 and 858,480

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Solution

The third proportional to 397,728 and 858,480 is: 1,852,994.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,728 : 858,480 = 858,480 : x
  2. Step 2: Convert to fraction form
    397,728/858,480 = 858,480/x
  3. Step 3: Cross multiply
    397,728x = 858,480 × 858,480
  4. Step 4: Simplify right side
    397,728x = 736,987,910,400
  5. Step 5: Solve for x
    x = 736,987,910,400/397,728
  6. Step 6: Final answer
    x = 1,852,994.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.