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Finding the Third Proportional to 207,408 and 444,288

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Solution

The third proportional to 207,408 and 444,288 is: 951,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,408 : 444,288 = 444,288 : x
  2. Step 2: Convert to fraction form
    207,408/444,288 = 444,288/x
  3. Step 3: Cross multiply
    207,408x = 444,288 × 444,288
  4. Step 4: Simplify right side
    207,408x = 197,391,826,944
  5. Step 5: Solve for x
    x = 197,391,826,944/207,408
  6. Step 6: Final answer
    x = 951,707.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.