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Finding the Third Proportional to 263,257 and 568,543

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Solution

The third proportional to 263,257 and 568,543 is: 1,227,853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,257 : 568,543 = 568,543 : x
  2. Step 2: Convert to fraction form
    263,257/568,543 = 568,543/x
  3. Step 3: Cross multiply
    263,257x = 568,543 × 568,543
  4. Step 4: Simplify right side
    263,257x = 323,241,142,849
  5. Step 5: Solve for x
    x = 323,241,142,849/263,257
  6. Step 6: Final answer
    x = 1,227,853.93

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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.