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Finding the Third Proportional to 362,884 and 769,028

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Solution

The third proportional to 362,884 and 769,028 is: 1,629,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,884 : 769,028 = 769,028 : x
  2. Step 2: Convert to fraction form
    362,884/769,028 = 769,028/x
  3. Step 3: Cross multiply
    362,884x = 769,028 × 769,028
  4. Step 4: Simplify right side
    362,884x = 591,404,064,784
  5. Step 5: Solve for x
    x = 591,404,064,784/362,884
  6. Step 6: Final answer
    x = 1,629,733.10

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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.