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Finding the Third Proportional to 404,195.06 and 882,777.38

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Solution

The third proportional to 404,195.06 and 882,777.38 is: 1,928,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,195.06 : 882,777.38 = 882,777.38 : x
  2. Step 2: Convert to fraction form
    404,195.06/882,777.38 = 882,777.38/x
  3. Step 3: Cross multiply
    404,195.06x = 882,777.38 × 882,777.38
  4. Step 4: Simplify right side
    404,195.06x = 779,295,893,811.89
  5. Step 5: Solve for x
    x = 779,295,893,811.89/404,195.06
  6. Step 6: Final answer
    x = 1,928,019.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.