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Finding the Third Proportional to 383,200 and 580,098

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Solution

The third proportional to 383,200 and 580,098 is: 878,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,200 : 580,098 = 580,098 : x
  2. Step 2: Convert to fraction form
    383,200/580,098 = 580,098/x
  3. Step 3: Cross multiply
    383,200x = 580,098 × 580,098
  4. Step 4: Simplify right side
    383,200x = 336,513,689,604
  5. Step 5: Solve for x
    x = 336,513,689,604/383,200
  6. Step 6: Final answer
    x = 878,167.25

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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.