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Finding the Third Proportional to 825,753.25 and 1,206,765

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Solution

The third proportional to 825,753.25 and 1,206,765 is: 1,763,579.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,753.25 : 1,206,765 = 1,206,765 : x
  2. Step 2: Convert to fraction form
    825,753.25/1,206,765 = 1,206,765/x
  3. Step 3: Cross multiply
    825,753.25x = 1,206,765 × 1,206,765
  4. Step 4: Simplify right side
    825,753.25x = 1,456,281,765,225
  5. Step 5: Solve for x
    x = 1,456,281,765,225/825,753.25
  6. Step 6: Final answer
    x = 1,763,579.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.