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Finding the Third Proportional to 568.69 and 738.84

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Solution

The third proportional to 568.69 and 738.84 is: 959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.69 : 738.84 = 738.84 : x
  2. Step 2: Convert to fraction form
    568.69/738.84 = 738.84/x
  3. Step 3: Cross multiply
    568.69x = 738.84 × 738.84
  4. Step 4: Simplify right side
    568.69x = 545,890.09
  5. Step 5: Solve for x
    x = 545,890.09/568.69
  6. Step 6: Final answer
    x = 959.91

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.