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Finding the Third Proportional to 437,999 and 484,079

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Solution

The third proportional to 437,999 and 484,079 is: 535,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,999 : 484,079 = 484,079 : x
  2. Step 2: Convert to fraction form
    437,999/484,079 = 484,079/x
  3. Step 3: Cross multiply
    437,999x = 484,079 × 484,079
  4. Step 4: Simplify right side
    437,999x = 234,332,478,241
  5. Step 5: Solve for x
    x = 234,332,478,241/437,999
  6. Step 6: Final answer
    x = 535,006.88

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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.