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Finding the Third Proportional to 394,977.38 and 595,960.88

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Solution

The third proportional to 394,977.38 and 595,960.88 is: 899,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,977.38 : 595,960.88 = 595,960.88 : x
  2. Step 2: Convert to fraction form
    394,977.38/595,960.88 = 595,960.88/x
  3. Step 3: Cross multiply
    394,977.38x = 595,960.88 × 595,960.88
  4. Step 4: Simplify right side
    394,977.38x = 355,169,364,530.77
  5. Step 5: Solve for x
    x = 355,169,364,530.77/394,977.38
  6. Step 6: Final answer
    x = 899,214.45

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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.