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Finding the Third Proportional to 564.05 and 858.94

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Solution

The third proportional to 564.05 and 858.94 is: 1,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.05 : 858.94 = 858.94 : x
  2. Step 2: Convert to fraction form
    564.05/858.94 = 858.94/x
  3. Step 3: Cross multiply
    564.05x = 858.94 × 858.94
  4. Step 4: Simplify right side
    564.05x = 737,773.63
  5. Step 5: Solve for x
    x = 737,773.63/564.05
  6. Step 6: Final answer
    x = 1,308.00

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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.