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Finding the Third Proportional to 268,302.38 and 568,579.50

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Solution

The third proportional to 268,302.38 and 568,579.50 is: 1,204,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,302.38 : 568,579.50 = 568,579.50 : x
  2. Step 2: Convert to fraction form
    268,302.38/568,579.50 = 568,579.50/x
  3. Step 3: Cross multiply
    268,302.38x = 568,579.50 × 568,579.50
  4. Step 4: Simplify right side
    268,302.38x = 323,282,647,820.25
  5. Step 5: Solve for x
    x = 323,282,647,820.25/268,302.38
  6. Step 6: Final answer
    x = 1,204,919.07

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Why These Related Problems?

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