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Finding the Third Proportional to 263,412 and 568,296

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Solution

The third proportional to 263,412 and 568,296 is: 1,226,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,412 : 568,296 = 568,296 : x
  2. Step 2: Convert to fraction form
    263,412/568,296 = 568,296/x
  3. Step 3: Cross multiply
    263,412x = 568,296 × 568,296
  4. Step 4: Simplify right side
    263,412x = 322,960,343,616
  5. Step 5: Solve for x
    x = 322,960,343,616/263,412
  6. Step 6: Final answer
    x = 1,226,065.42

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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.