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Finding the Third Proportional to 203,345.44 and 446,583.38

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Solution

The third proportional to 203,345.44 and 446,583.38 is: 980,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,345.44 : 446,583.38 = 446,583.38 : x
  2. Step 2: Convert to fraction form
    203,345.44/446,583.38 = 446,583.38/x
  3. Step 3: Cross multiply
    203,345.44x = 446,583.38 × 446,583.38
  4. Step 4: Simplify right side
    203,345.44x = 199,436,710,826.39
  5. Step 5: Solve for x
    x = 199,436,710,826.39/203,345.44
  6. Step 6: Final answer
    x = 980,777.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.