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Finding the Third Proportional to 205,024 and 443,744

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Solution

The third proportional to 205,024 and 443,744 is: 960,417.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,024 : 443,744 = 443,744 : x
  2. Step 2: Convert to fraction form
    205,024/443,744 = 443,744/x
  3. Step 3: Cross multiply
    205,024x = 443,744 × 443,744
  4. Step 4: Simplify right side
    205,024x = 196,908,737,536
  5. Step 5: Solve for x
    x = 196,908,737,536/205,024
  6. Step 6: Final answer
    x = 960,417.99

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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.