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Finding the Third Proportional to 412,905.38 and 611,682.75

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Solution

The third proportional to 412,905.38 and 611,682.75 is: 906,153.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,905.38 : 611,682.75 = 611,682.75 : x
  2. Step 2: Convert to fraction form
    412,905.38/611,682.75 = 611,682.75/x
  3. Step 3: Cross multiply
    412,905.38x = 611,682.75 × 611,682.75
  4. Step 4: Simplify right side
    412,905.38x = 374,155,786,647.56
  5. Step 5: Solve for x
    x = 374,155,786,647.56/412,905.38
  6. Step 6: Final answer
    x = 906,153.83

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.