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Finding the Third Proportional to 375,355.69 and 825,433.03

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Solution

The third proportional to 375,355.69 and 825,433.03 is: 1,815,184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,355.69 : 825,433.03 = 825,433.03 : x
  2. Step 2: Convert to fraction form
    375,355.69/825,433.03 = 825,433.03/x
  3. Step 3: Cross multiply
    375,355.69x = 825,433.03 × 825,433.03
  4. Step 4: Simplify right side
    375,355.69x = 681,339,689,078.56
  5. Step 5: Solve for x
    x = 681,339,689,078.56/375,355.69
  6. Step 6: Final answer
    x = 1,815,184.14

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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.