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Finding the Third Proportional to 263,086 and 568,210

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Solution

The third proportional to 263,086 and 568,210 is: 1,227,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,086 : 568,210 = 568,210 : x
  2. Step 2: Convert to fraction form
    263,086/568,210 = 568,210/x
  3. Step 3: Cross multiply
    263,086x = 568,210 × 568,210
  4. Step 4: Simplify right side
    263,086x = 322,862,604,100
  5. Step 5: Solve for x
    x = 322,862,604,100/263,086
  6. Step 6: Final answer
    x = 1,227,213.17

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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.