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Finding the Third Proportional to 259,406.50 and 568,020.50

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Solution

The third proportional to 259,406.50 and 568,020.50 is: 1,243,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,406.50 : 568,020.50 = 568,020.50 : x
  2. Step 2: Convert to fraction form
    259,406.50/568,020.50 = 568,020.50/x
  3. Step 3: Cross multiply
    259,406.50x = 568,020.50 × 568,020.50
  4. Step 4: Simplify right side
    259,406.50x = 322,647,288,420.25
  5. Step 5: Solve for x
    x = 322,647,288,420.25/259,406.50
  6. Step 6: Final answer
    x = 1,243,790.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.