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Finding the Third Proportional to 294,005 and 440,188

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Solution

The third proportional to 294,005 and 440,188 is: 659,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,005 : 440,188 = 440,188 : x
  2. Step 2: Convert to fraction form
    294,005/440,188 = 440,188/x
  3. Step 3: Cross multiply
    294,005x = 440,188 × 440,188
  4. Step 4: Simplify right side
    294,005x = 193,765,475,344
  5. Step 5: Solve for x
    x = 193,765,475,344/294,005
  6. Step 6: Final answer
    x = 659,055.03

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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.