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Finding the Third Proportional to 204,645 and 442,919

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Solution

The third proportional to 204,645 and 442,919 is: 958,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,645 : 442,919 = 442,919 : x
  2. Step 2: Convert to fraction form
    204,645/442,919 = 442,919/x
  3. Step 3: Cross multiply
    204,645x = 442,919 × 442,919
  4. Step 4: Simplify right side
    204,645x = 196,177,240,561
  5. Step 5: Solve for x
    x = 196,177,240,561/204,645
  6. Step 6: Final answer
    x = 958,622.20

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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.