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Finding the Third Proportional to 401,968.69 and 882,676.69

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Solution

The third proportional to 401,968.69 and 882,676.69 is: 1,938,255.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,968.69 : 882,676.69 = 882,676.69 : x
  2. Step 2: Convert to fraction form
    401,968.69/882,676.69 = 882,676.69/x
  3. Step 3: Cross multiply
    401,968.69x = 882,676.69 × 882,676.69
  4. Step 4: Simplify right side
    401,968.69x = 779,118,134,655.97
  5. Step 5: Solve for x
    x = 779,118,134,655.97/401,968.69
  6. Step 6: Final answer
    x = 1,938,255.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.