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Finding the Third Proportional to 381,118.50 and 522,597.75

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Solution

The third proportional to 381,118.50 and 522,597.75 is: 716,597.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,118.50 : 522,597.75 = 522,597.75 : x
  2. Step 2: Convert to fraction form
    381,118.50/522,597.75 = 522,597.75/x
  3. Step 3: Cross multiply
    381,118.50x = 522,597.75 × 522,597.75
  4. Step 4: Simplify right side
    381,118.50x = 273,108,408,305.06
  5. Step 5: Solve for x
    x = 273,108,408,305.06/381,118.50
  6. Step 6: Final answer
    x = 716,597.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.