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Finding the Third Proportional to 204,742 and 443,020

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Solution

The third proportional to 204,742 and 443,020 is: 958,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,742 : 443,020 = 443,020 : x
  2. Step 2: Convert to fraction form
    204,742/443,020 = 443,020/x
  3. Step 3: Cross multiply
    204,742x = 443,020 × 443,020
  4. Step 4: Simplify right side
    204,742x = 196,266,720,400
  5. Step 5: Solve for x
    x = 196,266,720,400/204,742
  6. Step 6: Final answer
    x = 958,605.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.