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Finding the Third Proportional to 263,066 and 568,171

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Solution

The third proportional to 263,066 and 568,171 is: 1,227,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,066 : 568,171 = 568,171 : x
  2. Step 2: Convert to fraction form
    263,066/568,171 = 568,171/x
  3. Step 3: Cross multiply
    263,066x = 568,171 × 568,171
  4. Step 4: Simplify right side
    263,066x = 322,818,285,241
  5. Step 5: Solve for x
    x = 322,818,285,241/263,066
  6. Step 6: Final answer
    x = 1,227,138.00

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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.