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Finding the Third Proportional to 393,615 and 593,196.75

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Solution

The third proportional to 393,615 and 593,196.75 is: 893,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,615 : 593,196.75 = 593,196.75 : x
  2. Step 2: Convert to fraction form
    393,615/593,196.75 = 593,196.75/x
  3. Step 3: Cross multiply
    393,615x = 593,196.75 × 593,196.75
  4. Step 4: Simplify right side
    393,615x = 351,882,384,210.56
  5. Step 5: Solve for x
    x = 351,882,384,210.56/393,615
  6. Step 6: Final answer
    x = 893,976.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.