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Finding the Third Proportional to 203,577 and 444,869

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Solution

The third proportional to 203,577 and 444,869 is: 972,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,577 : 444,869 = 444,869 : x
  2. Step 2: Convert to fraction form
    203,577/444,869 = 444,869/x
  3. Step 3: Cross multiply
    203,577x = 444,869 × 444,869
  4. Step 4: Simplify right side
    203,577x = 197,908,427,161
  5. Step 5: Solve for x
    x = 197,908,427,161/203,577
  6. Step 6: Final answer
    x = 972,155.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.