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Finding the Third Proportional to 202,458 and 443,051

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Solution

The third proportional to 202,458 and 443,051 is: 969,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,458 : 443,051 = 443,051 : x
  2. Step 2: Convert to fraction form
    202,458/443,051 = 443,051/x
  3. Step 3: Cross multiply
    202,458x = 443,051 × 443,051
  4. Step 4: Simplify right side
    202,458x = 196,294,188,601
  5. Step 5: Solve for x
    x = 196,294,188,601/202,458
  6. Step 6: Final answer
    x = 969,555.11

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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.