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Finding the Third Proportional to 198,626 and 453,793

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Solution

The third proportional to 198,626 and 453,793 is: 1,036,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,626 : 453,793 = 453,793 : x
  2. Step 2: Convert to fraction form
    198,626/453,793 = 453,793/x
  3. Step 3: Cross multiply
    198,626x = 453,793 × 453,793
  4. Step 4: Simplify right side
    198,626x = 205,928,086,849
  5. Step 5: Solve for x
    x = 205,928,086,849/198,626
  6. Step 6: Final answer
    x = 1,036,763.00

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.