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Finding the Third Proportional to 291,765 and 633,325

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Solution

The third proportional to 291,765 and 633,325 is: 1,374,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,765 : 633,325 = 633,325 : x
  2. Step 2: Convert to fraction form
    291,765/633,325 = 633,325/x
  3. Step 3: Cross multiply
    291,765x = 633,325 × 633,325
  4. Step 4: Simplify right side
    291,765x = 401,100,555,625
  5. Step 5: Solve for x
    x = 401,100,555,625/291,765
  6. Step 6: Final answer
    x = 1,374,738.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.