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Finding the Third Proportional to 381,615 and 593,429.25

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Solution

The third proportional to 381,615 and 593,429.25 is: 922,810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,615 : 593,429.25 = 593,429.25 : x
  2. Step 2: Convert to fraction form
    381,615/593,429.25 = 593,429.25/x
  3. Step 3: Cross multiply
    381,615x = 593,429.25 × 593,429.25
  4. Step 4: Simplify right side
    381,615x = 352,158,274,755.56
  5. Step 5: Solve for x
    x = 352,158,274,755.56/381,615
  6. Step 6: Final answer
    x = 922,810.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.