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Finding the Third Proportional to 568,772 and 859,205.50

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Solution

The third proportional to 568,772 and 859,205.50 is: 1,297,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,772 : 859,205.50 = 859,205.50 : x
  2. Step 2: Convert to fraction form
    568,772/859,205.50 = 859,205.50/x
  3. Step 3: Cross multiply
    568,772x = 859,205.50 × 859,205.50
  4. Step 4: Simplify right side
    568,772x = 738,234,091,230.25
  5. Step 5: Solve for x
    x = 738,234,091,230.25/568,772
  6. Step 6: Final answer
    x = 1,297,943.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.