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Finding the Third Proportional to 383,614.50 and 580,752.50

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Solution

The third proportional to 383,614.50 and 580,752.50 is: 879,198.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,614.50 : 580,752.50 = 580,752.50 : x
  2. Step 2: Convert to fraction form
    383,614.50/580,752.50 = 580,752.50/x
  3. Step 3: Cross multiply
    383,614.50x = 580,752.50 × 580,752.50
  4. Step 4: Simplify right side
    383,614.50x = 337,273,466,256.25
  5. Step 5: Solve for x
    x = 337,273,466,256.25/383,614.50
  6. Step 6: Final answer
    x = 879,198.95

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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.