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Finding the Third Proportional to 263,642 and 568,756

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Solution

The third proportional to 263,642 and 568,756 is: 1,226,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,642 : 568,756 = 568,756 : x
  2. Step 2: Convert to fraction form
    263,642/568,756 = 568,756/x
  3. Step 3: Cross multiply
    263,642x = 568,756 × 568,756
  4. Step 4: Simplify right side
    263,642x = 323,483,387,536
  5. Step 5: Solve for x
    x = 323,483,387,536/263,642
  6. Step 6: Final answer
    x = 1,226,979.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.