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Finding the Third Proportional to 451,459.50 and 940,286.25

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Solution

The third proportional to 451,459.50 and 940,286.25 is: 1,958,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,459.50 : 940,286.25 = 940,286.25 : x
  2. Step 2: Convert to fraction form
    451,459.50/940,286.25 = 940,286.25/x
  3. Step 3: Cross multiply
    451,459.50x = 940,286.25 × 940,286.25
  4. Step 4: Simplify right side
    451,459.50x = 884,138,231,939.06
  5. Step 5: Solve for x
    x = 884,138,231,939.06/451,459.50
  6. Step 6: Final answer
    x = 1,958,399.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.