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Finding the Third Proportional to 225,404 and 475,958.50

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Solution

The third proportional to 225,404 and 475,958.50 is: 1,005,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,404 : 475,958.50 = 475,958.50 : x
  2. Step 2: Convert to fraction form
    225,404/475,958.50 = 475,958.50/x
  3. Step 3: Cross multiply
    225,404x = 475,958.50 × 475,958.50
  4. Step 4: Simplify right side
    225,404x = 226,536,493,722.25
  5. Step 5: Solve for x
    x = 226,536,493,722.25/225,404
  6. Step 6: Final answer
    x = 1,005,024.28

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.