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Finding the Third Proportional to 600,389 and 844,423

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Solution

The third proportional to 600,389 and 844,423 is: 1,187,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,389 : 844,423 = 844,423 : x
  2. Step 2: Convert to fraction form
    600,389/844,423 = 844,423/x
  3. Step 3: Cross multiply
    600,389x = 844,423 × 844,423
  4. Step 4: Simplify right side
    600,389x = 713,050,202,929
  5. Step 5: Solve for x
    x = 713,050,202,929/600,389
  6. Step 6: Final answer
    x = 1,187,647.01

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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.