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Finding the Third Proportional to 254,267.44 and 393,960.38

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Solution

The third proportional to 254,267.44 and 393,960.38 is: 610,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,267.44 : 393,960.38 = 393,960.38 : x
  2. Step 2: Convert to fraction form
    254,267.44/393,960.38 = 393,960.38/x
  3. Step 3: Cross multiply
    254,267.44x = 393,960.38 × 393,960.38
  4. Step 4: Simplify right side
    254,267.44x = 155,204,777,070.14
  5. Step 5: Solve for x
    x = 155,204,777,070.14/254,267.44
  6. Step 6: Final answer
    x = 610,399.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.