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Finding the Third Proportional to 392,022 and 858,768

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Solution

The third proportional to 392,022 and 858,768 is: 1,881,227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,022 : 858,768 = 858,768 : x
  2. Step 2: Convert to fraction form
    392,022/858,768 = 858,768/x
  3. Step 3: Cross multiply
    392,022x = 858,768 × 858,768
  4. Step 4: Simplify right side
    392,022x = 737,482,477,824
  5. Step 5: Solve for x
    x = 737,482,477,824/392,022
  6. Step 6: Final answer
    x = 1,881,227.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.