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Finding the Third Proportional to 600,366 and 844,389

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Solution

The third proportional to 600,366 and 844,389 is: 1,187,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,366 : 844,389 = 844,389 : x
  2. Step 2: Convert to fraction form
    600,366/844,389 = 844,389/x
  3. Step 3: Cross multiply
    600,366x = 844,389 × 844,389
  4. Step 4: Simplify right side
    600,366x = 712,992,783,321
  5. Step 5: Solve for x
    x = 712,992,783,321/600,366
  6. Step 6: Final answer
    x = 1,187,596.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.