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Finding the Third Proportional to 283,614 and 444,969

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Solution

The third proportional to 283,614 and 444,969 is: 698,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,614 : 444,969 = 444,969 : x
  2. Step 2: Convert to fraction form
    283,614/444,969 = 444,969/x
  3. Step 3: Cross multiply
    283,614x = 444,969 × 444,969
  4. Step 4: Simplify right side
    283,614x = 197,997,410,961
  5. Step 5: Solve for x
    x = 197,997,410,961/283,614
  6. Step 6: Final answer
    x = 698,122.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.