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Finding the Third Proportional to 437,997 and 484,077

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Solution

The third proportional to 437,997 and 484,077 is: 535,004.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,997 : 484,077 = 484,077 : x
  2. Step 2: Convert to fraction form
    437,997/484,077 = 484,077/x
  3. Step 3: Cross multiply
    437,997x = 484,077 × 484,077
  4. Step 4: Simplify right side
    437,997x = 234,330,541,929
  5. Step 5: Solve for x
    x = 234,330,541,929/437,997
  6. Step 6: Final answer
    x = 535,004.90

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.