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Finding the Third Proportional to 442,834.50 and 704,976.75

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Solution

The third proportional to 442,834.50 and 704,976.75 is: 1,122,297.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,834.50 : 704,976.75 = 704,976.75 : x
  2. Step 2: Convert to fraction form
    442,834.50/704,976.75 = 704,976.75/x
  3. Step 3: Cross multiply
    442,834.50x = 704,976.75 × 704,976.75
  4. Step 4: Simplify right side
    442,834.50x = 496,992,218,040.56
  5. Step 5: Solve for x
    x = 496,992,218,040.56/442,834.50
  6. Step 6: Final answer
    x = 1,122,297.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.