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Finding the Third Proportional to 568,236 and 862,722

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Solution

The third proportional to 568,236 and 862,722 is: 1,309,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,236 : 862,722 = 862,722 : x
  2. Step 2: Convert to fraction form
    568,236/862,722 = 862,722/x
  3. Step 3: Cross multiply
    568,236x = 862,722 × 862,722
  4. Step 4: Simplify right side
    568,236x = 744,289,249,284
  5. Step 5: Solve for x
    x = 744,289,249,284/568,236
  6. Step 6: Final answer
    x = 1,309,824.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.