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Finding the Third Proportional to 404,163 and 561,954

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Solution

The third proportional to 404,163 and 561,954 is: 781,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,163 : 561,954 = 561,954 : x
  2. Step 2: Convert to fraction form
    404,163/561,954 = 561,954/x
  3. Step 3: Cross multiply
    404,163x = 561,954 × 561,954
  4. Step 4: Simplify right side
    404,163x = 315,792,298,116
  5. Step 5: Solve for x
    x = 315,792,298,116/404,163
  6. Step 6: Final answer
    x = 781,348.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.