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Finding the Third Proportional to 568,290.94 and 1,215,379.69

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Solution

The third proportional to 568,290.94 and 1,215,379.69 is: 2,599,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,290.94 : 1,215,379.69 = 1,215,379.69 : x
  2. Step 2: Convert to fraction form
    568,290.94/1,215,379.69 = 1,215,379.69/x
  3. Step 3: Cross multiply
    568,290.94x = 1,215,379.69 × 1,215,379.69
  4. Step 4: Simplify right side
    568,290.94x = 1,477,147,784,787.60
  5. Step 5: Solve for x
    x = 1,477,147,784,787.60/568,290.94
  6. Step 6: Final answer
    x = 2,599,280.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.