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Finding the Third Proportional to 394,416 and 601,848

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Solution

The third proportional to 394,416 and 601,848 is: 918,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,416 : 601,848 = 601,848 : x
  2. Step 2: Convert to fraction form
    394,416/601,848 = 601,848/x
  3. Step 3: Cross multiply
    394,416x = 601,848 × 601,848
  4. Step 4: Simplify right side
    394,416x = 362,221,015,104
  5. Step 5: Solve for x
    x = 362,221,015,104/394,416
  6. Step 6: Final answer
    x = 918,373.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.