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Finding the Third Proportional to 394,202 and 606,747

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Solution

The third proportional to 394,202 and 606,747 is: 933,891.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,202 : 606,747 = 606,747 : x
  2. Step 2: Convert to fraction form
    394,202/606,747 = 606,747/x
  3. Step 3: Cross multiply
    394,202x = 606,747 × 606,747
  4. Step 4: Simplify right side
    394,202x = 368,141,922,009
  5. Step 5: Solve for x
    x = 368,141,922,009/394,202
  6. Step 6: Final answer
    x = 933,891.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.