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Finding the Third Proportional to 381,606.75 and 593,422.88

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Solution

The third proportional to 381,606.75 and 593,422.88 is: 922,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,606.75 : 593,422.88 = 593,422.88 : x
  2. Step 2: Convert to fraction form
    381,606.75/593,422.88 = 593,422.88/x
  3. Step 3: Cross multiply
    381,606.75x = 593,422.88 × 593,422.88
  4. Step 4: Simplify right side
    381,606.75x = 352,150,708,573.27
  5. Step 5: Solve for x
    x = 352,150,708,573.27/381,606.75
  6. Step 6: Final answer
    x = 922,810.48

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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.