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Finding the Third Proportional to 568,256 and 862,752

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Solution

The third proportional to 568,256 and 862,752 is: 1,309,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,256 : 862,752 = 862,752 : x
  2. Step 2: Convert to fraction form
    568,256/862,752 = 862,752/x
  3. Step 3: Cross multiply
    568,256x = 862,752 × 862,752
  4. Step 4: Simplify right side
    568,256x = 744,341,013,504
  5. Step 5: Solve for x
    x = 744,341,013,504/568,256
  6. Step 6: Final answer
    x = 1,309,869.17

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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.