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Finding the Third Proportional to 397,679 and 858,394

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Solution

The third proportional to 397,679 and 858,394 is: 1,852,851.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,679 : 858,394 = 858,394 : x
  2. Step 2: Convert to fraction form
    397,679/858,394 = 858,394/x
  3. Step 3: Cross multiply
    397,679x = 858,394 × 858,394
  4. Step 4: Simplify right side
    397,679x = 736,840,259,236
  5. Step 5: Solve for x
    x = 736,840,259,236/397,679
  6. Step 6: Final answer
    x = 1,852,851.82

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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.