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Finding the Third Proportional to 200,530 and 445,887

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Solution

The third proportional to 200,530 and 445,887 is: 991,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,530 : 445,887 = 445,887 : x
  2. Step 2: Convert to fraction form
    200,530/445,887 = 445,887/x
  3. Step 3: Cross multiply
    200,530x = 445,887 × 445,887
  4. Step 4: Simplify right side
    200,530x = 198,815,216,769
  5. Step 5: Solve for x
    x = 198,815,216,769/200,530
  6. Step 6: Final answer
    x = 991,448.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.