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Finding the Third Proportional to 568,069.50 and 853,576.50

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Solution

The third proportional to 568,069.50 and 853,576.50 is: 1,282,576.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,069.50 : 853,576.50 = 853,576.50 : x
  2. Step 2: Convert to fraction form
    568,069.50/853,576.50 = 853,576.50/x
  3. Step 3: Cross multiply
    568,069.50x = 853,576.50 × 853,576.50
  4. Step 4: Simplify right side
    568,069.50x = 728,592,841,352.25
  5. Step 5: Solve for x
    x = 728,592,841,352.25/568,069.50
  6. Step 6: Final answer
    x = 1,282,576.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.