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Finding the Third Proportional to 568,254 and 862,749

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Solution

The third proportional to 568,254 and 862,749 is: 1,309,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,254 : 862,749 = 862,749 : x
  2. Step 2: Convert to fraction form
    568,254/862,749 = 862,749/x
  3. Step 3: Cross multiply
    568,254x = 862,749 × 862,749
  4. Step 4: Simplify right side
    568,254x = 744,335,837,001
  5. Step 5: Solve for x
    x = 744,335,837,001/568,254
  6. Step 6: Final answer
    x = 1,309,864.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.