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Finding the Third Proportional to 383,618.25 and 580,758.75

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Solution

The third proportional to 383,618.25 and 580,758.75 is: 879,209.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,618.25 : 580,758.75 = 580,758.75 : x
  2. Step 2: Convert to fraction form
    383,618.25/580,758.75 = 580,758.75/x
  3. Step 3: Cross multiply
    383,618.25x = 580,758.75 × 580,758.75
  4. Step 4: Simplify right side
    383,618.25x = 337,280,725,701.56
  5. Step 5: Solve for x
    x = 337,280,725,701.56/383,618.25
  6. Step 6: Final answer
    x = 879,209.28

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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.