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Finding the Third Proportional to 568.11 and 926.91

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Solution

The third proportional to 568.11 and 926.91 is: 1,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.11 : 926.91 = 926.91 : x
  2. Step 2: Convert to fraction form
    568.11/926.91 = 926.91/x
  3. Step 3: Cross multiply
    568.11x = 926.91 × 926.91
  4. Step 4: Simplify right side
    568.11x = 859,166.06
  5. Step 5: Solve for x
    x = 859,166.06/568.11
  6. Step 6: Final answer
    x = 1,512.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.