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Finding the Third Proportional to 673,381 and 944,873

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Solution

The third proportional to 673,381 and 944,873 is: 1,325,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,381 : 944,873 = 944,873 : x
  2. Step 2: Convert to fraction form
    673,381/944,873 = 944,873/x
  3. Step 3: Cross multiply
    673,381x = 944,873 × 944,873
  4. Step 4: Simplify right side
    673,381x = 892,784,986,129
  5. Step 5: Solve for x
    x = 892,784,986,129/673,381
  6. Step 6: Final answer
    x = 1,325,824.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.