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Finding the Third Proportional to 345,792 and 807,667

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Solution

The third proportional to 345,792 and 807,667 is: 1,886,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,792 : 807,667 = 807,667 : x
  2. Step 2: Convert to fraction form
    345,792/807,667 = 807,667/x
  3. Step 3: Cross multiply
    345,792x = 807,667 × 807,667
  4. Step 4: Simplify right side
    345,792x = 652,325,982,889
  5. Step 5: Solve for x
    x = 652,325,982,889/345,792
  6. Step 6: Final answer
    x = 1,886,469.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.