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Finding the Third Proportional to 294,048 and 439,914

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Solution

The third proportional to 294,048 and 439,914 is: 658,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,048 : 439,914 = 439,914 : x
  2. Step 2: Convert to fraction form
    294,048/439,914 = 439,914/x
  3. Step 3: Cross multiply
    294,048x = 439,914 × 439,914
  4. Step 4: Simplify right side
    294,048x = 193,524,327,396
  5. Step 5: Solve for x
    x = 193,524,327,396/294,048
  6. Step 6: Final answer
    x = 658,138.56

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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.