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Finding the Third Proportional to 467,835.75 and 706,401

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Solution

The third proportional to 467,835.75 and 706,401 is: 1,066,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,835.75 : 706,401 = 706,401 : x
  2. Step 2: Convert to fraction form
    467,835.75/706,401 = 706,401/x
  3. Step 3: Cross multiply
    467,835.75x = 706,401 × 706,401
  4. Step 4: Simplify right side
    467,835.75x = 499,002,372,801
  5. Step 5: Solve for x
    x = 499,002,372,801/467,835.75
  6. Step 6: Final answer
    x = 1,066,618.73

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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.