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Finding the Third Proportional to 204,779 and 442,854

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Solution

The third proportional to 204,779 and 442,854 is: 957,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,779 : 442,854 = 442,854 : x
  2. Step 2: Convert to fraction form
    204,779/442,854 = 442,854/x
  3. Step 3: Cross multiply
    204,779x = 442,854 × 442,854
  4. Step 4: Simplify right side
    204,779x = 196,119,665,316
  5. Step 5: Solve for x
    x = 196,119,665,316/204,779
  6. Step 6: Final answer
    x = 957,713.76

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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.