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Finding the Third Proportional to 437,991 and 484,071

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Solution

The third proportional to 437,991 and 484,071 is: 534,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,991 : 484,071 = 484,071 : x
  2. Step 2: Convert to fraction form
    437,991/484,071 = 484,071/x
  3. Step 3: Cross multiply
    437,991x = 484,071 × 484,071
  4. Step 4: Simplify right side
    437,991x = 234,324,733,041
  5. Step 5: Solve for x
    x = 234,324,733,041/437,991
  6. Step 6: Final answer
    x = 534,998.97

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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.