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Finding the Third Proportional to 404,823 and 603,954

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Solution

The third proportional to 404,823 and 603,954 is: 901,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,823 : 603,954 = 603,954 : x
  2. Step 2: Convert to fraction form
    404,823/603,954 = 603,954/x
  3. Step 3: Cross multiply
    404,823x = 603,954 × 603,954
  4. Step 4: Simplify right side
    404,823x = 364,760,434,116
  5. Step 5: Solve for x
    x = 364,760,434,116/404,823
  6. Step 6: Final answer
    x = 901,036.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.