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Finding the Third Proportional to 600,372 and 844,397

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Solution

The third proportional to 600,372 and 844,397 is: 1,187,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,372 : 844,397 = 844,397 : x
  2. Step 2: Convert to fraction form
    600,372/844,397 = 844,397/x
  3. Step 3: Cross multiply
    600,372x = 844,397 × 844,397
  4. Step 4: Simplify right side
    600,372x = 713,006,293,609
  5. Step 5: Solve for x
    x = 713,006,293,609/600,372
  6. Step 6: Final answer
    x = 1,187,607.51

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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.