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Finding the Third Proportional to 600,370 and 844,394

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Solution

The third proportional to 600,370 and 844,394 is: 1,187,603.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,370 : 844,394 = 844,394 : x
  2. Step 2: Convert to fraction form
    600,370/844,394 = 844,394/x
  3. Step 3: Cross multiply
    600,370x = 844,394 × 844,394
  4. Step 4: Simplify right side
    600,370x = 713,001,227,236
  5. Step 5: Solve for x
    x = 713,001,227,236/600,370
  6. Step 6: Final answer
    x = 1,187,603.02

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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.