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Finding the Third Proportional to 203,914 and 439,076

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Solution

The third proportional to 203,914 and 439,076 is: 945,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,914 : 439,076 = 439,076 : x
  2. Step 2: Convert to fraction form
    203,914/439,076 = 439,076/x
  3. Step 3: Cross multiply
    203,914x = 439,076 × 439,076
  4. Step 4: Simplify right side
    203,914x = 192,787,733,776
  5. Step 5: Solve for x
    x = 192,787,733,776/203,914
  6. Step 6: Final answer
    x = 945,436.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.