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Finding the Third Proportional to 254,461.50 and 394,206.75

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Solution

The third proportional to 254,461.50 and 394,206.75 is: 610,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,461.50 : 394,206.75 = 394,206.75 : x
  2. Step 2: Convert to fraction form
    254,461.50/394,206.75 = 394,206.75/x
  3. Step 3: Cross multiply
    254,461.50x = 394,206.75 × 394,206.75
  4. Step 4: Simplify right side
    254,461.50x = 155,398,961,745.56
  5. Step 5: Solve for x
    x = 155,398,961,745.56/254,461.50
  6. Step 6: Final answer
    x = 610,697.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.