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Finding the Third Proportional to 263,909 and 568,642

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Solution

The third proportional to 263,909 and 568,642 is: 1,225,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,909 : 568,642 = 568,642 : x
  2. Step 2: Convert to fraction form
    263,909/568,642 = 568,642/x
  3. Step 3: Cross multiply
    263,909x = 568,642 × 568,642
  4. Step 4: Simplify right side
    263,909x = 323,353,724,164
  5. Step 5: Solve for x
    x = 323,353,724,164/263,909
  6. Step 6: Final answer
    x = 1,225,247.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.