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Finding the Third Proportional to 638,296 and 945,120

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Solution

The third proportional to 638,296 and 945,120 is: 1,399,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,296 : 945,120 = 945,120 : x
  2. Step 2: Convert to fraction form
    638,296/945,120 = 945,120/x
  3. Step 3: Cross multiply
    638,296x = 945,120 × 945,120
  4. Step 4: Simplify right side
    638,296x = 893,251,814,400
  5. Step 5: Solve for x
    x = 893,251,814,400/638,296
  6. Step 6: Final answer
    x = 1,399,431.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.