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Finding the Third Proportional to 263,254 and 568,538

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Solution

The third proportional to 263,254 and 568,538 is: 1,227,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,254 : 568,538 = 568,538 : x
  2. Step 2: Convert to fraction form
    263,254/568,538 = 568,538/x
  3. Step 3: Cross multiply
    263,254x = 568,538 × 568,538
  4. Step 4: Simplify right side
    263,254x = 323,235,457,444
  5. Step 5: Solve for x
    x = 323,235,457,444/263,254
  6. Step 6: Final answer
    x = 1,227,846.33

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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.