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Finding the Third Proportional to 568,796 and 800,051

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Solution

The third proportional to 568,796 and 800,051 is: 1,125,327.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,796 : 800,051 = 800,051 : x
  2. Step 2: Convert to fraction form
    568,796/800,051 = 800,051/x
  3. Step 3: Cross multiply
    568,796x = 800,051 × 800,051
  4. Step 4: Simplify right side
    568,796x = 640,081,602,601
  5. Step 5: Solve for x
    x = 640,081,602,601/568,796
  6. Step 6: Final answer
    x = 1,125,327.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.