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Finding the Third Proportional to 301,895 and 444,093

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Solution

The third proportional to 301,895 and 444,093 is: 653,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,895 : 444,093 = 444,093 : x
  2. Step 2: Convert to fraction form
    301,895/444,093 = 444,093/x
  3. Step 3: Cross multiply
    301,895x = 444,093 × 444,093
  4. Step 4: Simplify right side
    301,895x = 197,218,592,649
  5. Step 5: Solve for x
    x = 197,218,592,649/301,895
  6. Step 6: Final answer
    x = 653,268.83

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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.