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Finding the Third Proportional to 403,944 and 848,496

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Solution

The third proportional to 403,944 and 848,496 is: 1,782,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,944 : 848,496 = 848,496 : x
  2. Step 2: Convert to fraction form
    403,944/848,496 = 848,496/x
  3. Step 3: Cross multiply
    403,944x = 848,496 × 848,496
  4. Step 4: Simplify right side
    403,944x = 719,945,462,016
  5. Step 5: Solve for x
    x = 719,945,462,016/403,944
  6. Step 6: Final answer
    x = 1,782,290.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.