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Finding the Third Proportional to 294,007 and 440,191

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Solution

The third proportional to 294,007 and 440,191 is: 659,059.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,007 : 440,191 = 440,191 : x
  2. Step 2: Convert to fraction form
    294,007/440,191 = 440,191/x
  3. Step 3: Cross multiply
    294,007x = 440,191 × 440,191
  4. Step 4: Simplify right side
    294,007x = 193,768,116,481
  5. Step 5: Solve for x
    x = 193,768,116,481/294,007
  6. Step 6: Final answer
    x = 659,059.53

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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.