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Finding the Third Proportional to 203,896 and 479,727

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Solution

The third proportional to 203,896 and 479,727 is: 1,128,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,896 : 479,727 = 479,727 : x
  2. Step 2: Convert to fraction form
    203,896/479,727 = 479,727/x
  3. Step 3: Cross multiply
    203,896x = 479,727 × 479,727
  4. Step 4: Simplify right side
    203,896x = 230,137,994,529
  5. Step 5: Solve for x
    x = 230,137,994,529/203,896
  6. Step 6: Final answer
    x = 1,128,702.84

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.