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Finding the Third Proportional to 361,767 and 785,811

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Solution

The third proportional to 361,767 and 785,811 is: 1,706,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,767 : 785,811 = 785,811 : x
  2. Step 2: Convert to fraction form
    361,767/785,811 = 785,811/x
  3. Step 3: Cross multiply
    361,767x = 785,811 × 785,811
  4. Step 4: Simplify right side
    361,767x = 617,498,927,721
  5. Step 5: Solve for x
    x = 617,498,927,721/361,767
  6. Step 6: Final answer
    x = 1,706,896.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.