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Finding the Third Proportional to 441,071 and 659,869

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Solution

The third proportional to 441,071 and 659,869 is: 987,204.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,071 : 659,869 = 659,869 : x
  2. Step 2: Convert to fraction form
    441,071/659,869 = 659,869/x
  3. Step 3: Cross multiply
    441,071x = 659,869 × 659,869
  4. Step 4: Simplify right side
    441,071x = 435,427,097,161
  5. Step 5: Solve for x
    x = 435,427,097,161/441,071
  6. Step 6: Final answer
    x = 987,204.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.