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Finding the Third Proportional to 568,757 and 856,740

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Solution

The third proportional to 568,757 and 856,740 is: 1,290,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,757 : 856,740 = 856,740 : x
  2. Step 2: Convert to fraction form
    568,757/856,740 = 856,740/x
  3. Step 3: Cross multiply
    568,757x = 856,740 × 856,740
  4. Step 4: Simplify right side
    568,757x = 734,003,427,600
  5. Step 5: Solve for x
    x = 734,003,427,600/568,757
  6. Step 6: Final answer
    x = 1,290,539.59

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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.