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Finding the Third Proportional to 355,540 and 587,238

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Solution

The third proportional to 355,540 and 587,238 is: 969,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,540 : 587,238 = 587,238 : x
  2. Step 2: Convert to fraction form
    355,540/587,238 = 587,238/x
  3. Step 3: Cross multiply
    355,540x = 587,238 × 587,238
  4. Step 4: Simplify right side
    355,540x = 344,848,468,644
  5. Step 5: Solve for x
    x = 344,848,468,644/355,540
  6. Step 6: Final answer
    x = 969,928.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.