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Finding the Third Proportional to 362,873 and 769,006

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Solution

The third proportional to 362,873 and 769,006 is: 1,629,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,873 : 769,006 = 769,006 : x
  2. Step 2: Convert to fraction form
    362,873/769,006 = 769,006/x
  3. Step 3: Cross multiply
    362,873x = 769,006 × 769,006
  4. Step 4: Simplify right side
    362,873x = 591,370,228,036
  5. Step 5: Solve for x
    x = 591,370,228,036/362,873
  6. Step 6: Final answer
    x = 1,629,689.25

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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.