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Finding the Third Proportional to 206,584 and 444,789

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Solution

The third proportional to 206,584 and 444,789 is: 957,660.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584 : 444,789 = 444,789 : x
  2. Step 2: Convert to fraction form
    206,584/444,789 = 444,789/x
  3. Step 3: Cross multiply
    206,584x = 444,789 × 444,789
  4. Step 4: Simplify right side
    206,584x = 197,837,254,521
  5. Step 5: Solve for x
    x = 197,837,254,521/206,584
  6. Step 6: Final answer
    x = 957,660.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.