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Finding the Third Proportional to 345,790 and 807,662

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Solution

The third proportional to 345,790 and 807,662 is: 1,886,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,790 : 807,662 = 807,662 : x
  2. Step 2: Convert to fraction form
    345,790/807,662 = 807,662/x
  3. Step 3: Cross multiply
    345,790x = 807,662 × 807,662
  4. Step 4: Simplify right side
    345,790x = 652,317,906,244
  5. Step 5: Solve for x
    x = 652,317,906,244/345,790
  6. Step 6: Final answer
    x = 1,886,456.83

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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.