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Finding the Third Proportional to 255,538 and 383,920

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Solution

The third proportional to 255,538 and 383,920 is: 576,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,538 : 383,920 = 383,920 : x
  2. Step 2: Convert to fraction form
    255,538/383,920 = 383,920/x
  3. Step 3: Cross multiply
    255,538x = 383,920 × 383,920
  4. Step 4: Simplify right side
    255,538x = 147,394,566,400
  5. Step 5: Solve for x
    x = 147,394,566,400/255,538
  6. Step 6: Final answer
    x = 576,800.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.