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Finding the Third Proportional to 202,473 and 443,079

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Solution

The third proportional to 202,473 and 443,079 is: 969,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,473 : 443,079 = 443,079 : x
  2. Step 2: Convert to fraction form
    202,473/443,079 = 443,079/x
  3. Step 3: Cross multiply
    202,473x = 443,079 × 443,079
  4. Step 4: Simplify right side
    202,473x = 196,319,000,241
  5. Step 5: Solve for x
    x = 196,319,000,241/202,473
  6. Step 6: Final answer
    x = 969,605.83

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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.