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Finding the Third Proportional to 564.38 and 768.94

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Solution

The third proportional to 564.38 and 768.94 is: 1,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 768.94 = 768.94 : x
  2. Step 2: Convert to fraction form
    564.38/768.94 = 768.94/x
  3. Step 3: Cross multiply
    564.38x = 768.94 × 768.94
  4. Step 4: Simplify right side
    564.38x = 591,264.88
  5. Step 5: Solve for x
    x = 591,264.88/564.38
  6. Step 6: Final answer
    x = 1,047.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.