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Finding the Third Proportional to 204,789 and 425,922

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Solution

The third proportional to 204,789 and 425,922 is: 885,836.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,789 : 425,922 = 425,922 : x
  2. Step 2: Convert to fraction form
    204,789/425,922 = 425,922/x
  3. Step 3: Cross multiply
    204,789x = 425,922 × 425,922
  4. Step 4: Simplify right side
    204,789x = 181,409,550,084
  5. Step 5: Solve for x
    x = 181,409,550,084/204,789
  6. Step 6: Final answer
    x = 885,836.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.