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Finding the Third Proportional to 262 and 568.75

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Solution

The third proportional to 262 and 568.75 is: 1,234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262 : 568.75 = 568.75 : x
  2. Step 2: Convert to fraction form
    262/568.75 = 568.75/x
  3. Step 3: Cross multiply
    262x = 568.75 × 568.75
  4. Step 4: Simplify right side
    262x = 323,476.56
  5. Step 5: Solve for x
    x = 323,476.56/262
  6. Step 6: Final answer
    x = 1,234.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.