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Finding the Third Proportional to 400,158.75 and 610,401

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Solution

The third proportional to 400,158.75 and 610,401 is: 931,103.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,158.75 : 610,401 = 610,401 : x
  2. Step 2: Convert to fraction form
    400,158.75/610,401 = 610,401/x
  3. Step 3: Cross multiply
    400,158.75x = 610,401 × 610,401
  4. Step 4: Simplify right side
    400,158.75x = 372,589,380,801
  5. Step 5: Solve for x
    x = 372,589,380,801/400,158.75
  6. Step 6: Final answer
    x = 931,103.92

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.