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Finding the Third Proportional to 268,296.47 and 568,567.69

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Solution

The third proportional to 268,296.47 and 568,567.69 is: 1,204,895.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,296.47 : 568,567.69 = 568,567.69 : x
  2. Step 2: Convert to fraction form
    268,296.47/568,567.69 = 568,567.69/x
  3. Step 3: Cross multiply
    268,296.47x = 568,567.69 × 568,567.69
  4. Step 4: Simplify right side
    268,296.47x = 323,269,215,269.10
  5. Step 5: Solve for x
    x = 323,269,215,269.10/268,296.47
  6. Step 6: Final answer
    x = 1,204,895.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.