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Finding the Third Proportional to 394,320 and 606,104

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Solution

The third proportional to 394,320 and 606,104 is: 931,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,320 : 606,104 = 606,104 : x
  2. Step 2: Convert to fraction form
    394,320/606,104 = 606,104/x
  3. Step 3: Cross multiply
    394,320x = 606,104 × 606,104
  4. Step 4: Simplify right side
    394,320x = 367,362,058,816
  5. Step 5: Solve for x
    x = 367,362,058,816/394,320
  6. Step 6: Final answer
    x = 931,634.35

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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.