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Finding the Third Proportional to 279,027 and 404,932.50

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Solution

The third proportional to 279,027 and 404,932.50 is: 587,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,027 : 404,932.50 = 404,932.50 : x
  2. Step 2: Convert to fraction form
    279,027/404,932.50 = 404,932.50/x
  3. Step 3: Cross multiply
    279,027x = 404,932.50 × 404,932.50
  4. Step 4: Simplify right side
    279,027x = 163,970,329,556.25
  5. Step 5: Solve for x
    x = 163,970,329,556.25/279,027
  6. Step 6: Final answer
    x = 587,650.41

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.