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Finding the Third Proportional to 565,168 and 853,511

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Solution

The third proportional to 565,168 and 853,511 is: 1,288,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,168 : 853,511 = 853,511 : x
  2. Step 2: Convert to fraction form
    565,168/853,511 = 853,511/x
  3. Step 3: Cross multiply
    565,168x = 853,511 × 853,511
  4. Step 4: Simplify right side
    565,168x = 728,481,027,121
  5. Step 5: Solve for x
    x = 728,481,027,121/565,168
  6. Step 6: Final answer
    x = 1,288,963.68

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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.