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Finding the Third Proportional to 354,615 and 531,923

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Solution

The third proportional to 354,615 and 531,923 is: 797,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,615 : 531,923 = 531,923 : x
  2. Step 2: Convert to fraction form
    354,615/531,923 = 531,923/x
  3. Step 3: Cross multiply
    354,615x = 531,923 × 531,923
  4. Step 4: Simplify right side
    354,615x = 282,942,077,929
  5. Step 5: Solve for x
    x = 282,942,077,929/354,615
  6. Step 6: Final answer
    x = 797,885.25

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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.