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Finding the Third Proportional to 383,615.50 and 580,754

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Solution

The third proportional to 383,615.50 and 580,754 is: 879,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,615.50 : 580,754 = 580,754 : x
  2. Step 2: Convert to fraction form
    383,615.50/580,754 = 580,754/x
  3. Step 3: Cross multiply
    383,615.50x = 580,754 × 580,754
  4. Step 4: Simplify right side
    383,615.50x = 337,275,208,516
  5. Step 5: Solve for x
    x = 337,275,208,516/383,615.50
  6. Step 6: Final answer
    x = 879,201.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.