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Finding the Third Proportional to 293,570 and 408,483

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Solution

The third proportional to 293,570 and 408,483 is: 568,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,570 : 408,483 = 408,483 : x
  2. Step 2: Convert to fraction form
    293,570/408,483 = 408,483/x
  3. Step 3: Cross multiply
    293,570x = 408,483 × 408,483
  4. Step 4: Simplify right side
    293,570x = 166,858,361,289
  5. Step 5: Solve for x
    x = 166,858,361,289/293,570
  6. Step 6: Final answer
    x = 568,376.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.