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Finding the Third Proportional to 564.38 and 886.75

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Solution

The third proportional to 564.38 and 886.75 is: 1,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 886.75 = 886.75 : x
  2. Step 2: Convert to fraction form
    564.38/886.75 = 886.75/x
  3. Step 3: Cross multiply
    564.38x = 886.75 × 886.75
  4. Step 4: Simplify right side
    564.38x = 786,325.56
  5. Step 5: Solve for x
    x = 786,325.56/564.38
  6. Step 6: Final answer
    x = 1,393.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.