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Finding the Third Proportional to 392,706 and 832,149

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Solution

The third proportional to 392,706 and 832,149 is: 1,763,334.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,706 : 832,149 = 832,149 : x
  2. Step 2: Convert to fraction form
    392,706/832,149 = 832,149/x
  3. Step 3: Cross multiply
    392,706x = 832,149 × 832,149
  4. Step 4: Simplify right side
    392,706x = 692,471,958,201
  5. Step 5: Solve for x
    x = 692,471,958,201/392,706
  6. Step 6: Final answer
    x = 1,763,334.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.