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Finding the Third Proportional to 564.19 and 856.97

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Solution

The third proportional to 564.19 and 856.97 is: 1,301.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 856.97 = 856.97 : x
  2. Step 2: Convert to fraction form
    564.19/856.97 = 856.97/x
  3. Step 3: Cross multiply
    564.19x = 856.97 × 856.97
  4. Step 4: Simplify right side
    564.19x = 734,395.44
  5. Step 5: Solve for x
    x = 734,395.44/564.19
  6. Step 6: Final answer
    x = 1,301.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.