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Finding the Third Proportional to 262,909.69 and 571,884.19

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Solution

The third proportional to 262,909.69 and 571,884.19 is: 1,243,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,909.69 : 571,884.19 = 571,884.19 : x
  2. Step 2: Convert to fraction form
    262,909.69/571,884.19 = 571,884.19/x
  3. Step 3: Cross multiply
    262,909.69x = 571,884.19 × 571,884.19
  4. Step 4: Simplify right side
    262,909.69x = 327,051,523,912.54
  5. Step 5: Solve for x
    x = 327,051,523,912.54/262,909.69
  6. Step 6: Final answer
    x = 1,243,969.09

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