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Finding the Third Proportional to 445,261.50 and 667,892.25

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Solution

The third proportional to 445,261.50 and 667,892.25 is: 1,001,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,261.50 : 667,892.25 = 667,892.25 : x
  2. Step 2: Convert to fraction form
    445,261.50/667,892.25 = 667,892.25/x
  3. Step 3: Cross multiply
    445,261.50x = 667,892.25 × 667,892.25
  4. Step 4: Simplify right side
    445,261.50x = 446,080,057,610.06
  5. Step 5: Solve for x
    x = 446,080,057,610.06/445,261.50
  6. Step 6: Final answer
    x = 1,001,838.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.