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Finding the Third Proportional to 301,902 and 444,105

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Solution

The third proportional to 301,902 and 444,105 is: 653,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,902 : 444,105 = 444,105 : x
  2. Step 2: Convert to fraction form
    301,902/444,105 = 444,105/x
  3. Step 3: Cross multiply
    301,902x = 444,105 × 444,105
  4. Step 4: Simplify right side
    301,902x = 197,229,251,025
  5. Step 5: Solve for x
    x = 197,229,251,025/301,902
  6. Step 6: Final answer
    x = 653,288.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.