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Finding the Third Proportional to 259,788 and 400,626

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Solution

The third proportional to 259,788 and 400,626 is: 617,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,788 : 400,626 = 400,626 : x
  2. Step 2: Convert to fraction form
    259,788/400,626 = 400,626/x
  3. Step 3: Cross multiply
    259,788x = 400,626 × 400,626
  4. Step 4: Simplify right side
    259,788x = 160,501,191,876
  5. Step 5: Solve for x
    x = 160,501,191,876/259,788
  6. Step 6: Final answer
    x = 617,816.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.