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Finding the Third Proportional to 236,404 and 354,606

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Solution

The third proportional to 236,404 and 354,606 is: 531,909

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,404 : 354,606 = 354,606 : x
  2. Step 2: Convert to fraction form
    236,404/354,606 = 354,606/x
  3. Step 3: Cross multiply
    236,404x = 354,606 × 354,606
  4. Step 4: Simplify right side
    236,404x = 125,745,415,236
  5. Step 5: Solve for x
    x = 125,745,415,236/236,404
  6. Step 6: Final answer
    x = 531,909

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.